* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 54 additional inputs, on iter 1 have 202 / 256 * * * * [misc]points: Computing exacts on every 3 of 54 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 54 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 2 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 259 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 61 inf + 0 * * [misc]simplify: Extracting #2: cost 247 inf + 3 * * [misc]simplify: Extracting #3: cost 306 inf + 921 * * [misc]simplify: Extracting #4: cost 103 inf + 30506 * * [misc]simplify: Extracting #5: cost 4 inf + 52992 * * [misc]simplify: Extracting #6: cost 0 inf + 53966 * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ a b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI a)) (- a)) into (* -1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ PI (pow b 2))) 1) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI (pow b 2)))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI (pow b 2))) (- (/ 1 b))) (* 0 1)) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI (pow b 3))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* 0 (/ -1 b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI (pow b 2))) 0) (+ (* 0 (- (/ 1 b))) (* (* 1/2 (/ PI (pow b 4))) 1))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (* (* -1/2 PI) (- b)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (/ 1 b) 1)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) -1) (+ (* (* -1/2 PI) (/ (/ 1 b) -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/2 PI) 1) (* 0 (- b))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (- (* 1/2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI (pow b 2))) -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 PI) 0) (+ (* 0 1) (* (- (* 1/2 (/ PI (pow b 2)))) (- b)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) -1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* (* -1/2 PI) b) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI b)) 1) (+ (* (* -1/2 PI) (/ (- (/ 1 b)) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/2 PI) -1) (* 0 b)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (* 1/2 (/ PI b)) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI (pow b 2)))) 1) (+ (* (* -1/2 PI) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 PI) 0) (+ (* 0 -1) (* (- (* 1/2 (/ PI (pow b 2)))) b))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ PI (pow b 3))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (/ 1 b) 1)))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (- (* 1/2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* -1/2 PI) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (* 1/2 (/ PI b)) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (/ PI 2) (+ a b)) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ a b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI a)) (- a)) into (* -1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI (pow b 2)))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI (pow b 3))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* 0 (/ -1 b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* -1/2 PI) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (/ 1 b) 1)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) -1) (+ (* (* -1/2 PI) (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (- (* 1/2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI (pow b 2))) -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) -1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* -1/2 PI) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI b)) 1) (+ (* (* -1/2 PI) (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (* 1/2 (/ PI b)) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI (pow b 2)))) 1) (+ (* (* -1/2 PI) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 49 inf + 0 * * [misc]simplify: Extracting #2: cost 144 inf + 2 * * [misc]simplify: Extracting #3: cost 157 inf + 954 * * [misc]simplify: Extracting #4: cost 31 inf + 20618 * * [misc]simplify: Extracting #5: cost 0 inf + 26444 * [exit]simplify: Simplified to (- (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a) (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (- (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a) (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) 1)) * * * * [misc]progress: [ 2 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (/ PI 2)) (log (+ a b))) (log (- b a))) (log (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 98 inf + 0 * * [misc]simplify: Extracting #2: cost 242 inf + 0 * * [misc]simplify: Extracting #3: cost 250 inf + 298 * * [misc]simplify: Extracting #4: cost 230 inf + 3951 * * [misc]simplify: Extracting #5: cost 152 inf + 23196 * * [misc]simplify: Extracting #6: cost 87 inf + 48027 * * [misc]simplify: Extracting #7: cost 9 inf + 85209 * * [misc]simplify: Extracting #8: cost 0 inf + 89732 * * [misc]simplify: Extracting #9: cost 0 inf + 89692 * [exit]simplify: Simplified to (+ (- (log (/ PI 2)) (+ (log (+ b a)) (log (- b a)))) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (- (log (/ PI 2)) (+ (log (+ b a)) (log (- b a)))) (log (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 4 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (/ PI 2) (+ a b))) (log (- b a))) (log (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 111 inf + 0 * * [misc]simplify: Extracting #2: cost 299 inf + 0 * * [misc]simplify: Extracting #3: cost 301 inf + 298 * * [misc]simplify: Extracting #4: cost 267 inf + 6607 * * [misc]simplify: Extracting #5: cost 186 inf + 26499 * * [misc]simplify: Extracting #6: cost 153 inf + 35844 * * [misc]simplify: Extracting #7: cost 113 inf + 53038 * * [misc]simplify: Extracting #8: cost 13 inf + 98033 * * [misc]simplify: Extracting #9: cost 0 inf + 104910 * [exit]simplify: Simplified to (+ (log (- (/ 1 a) (/ 1 b))) (- (log (/ (/ PI 2) (+ a b))) (log (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (- (/ 1 a) (/ 1 b))) (- (log (/ (/ PI 2) (+ a b))) (log (- b a)))))) * * * * [misc]progress: [ 5 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (/ PI 2) (+ a b)) (- b a))) (log (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 74 inf + 0 * * [misc]simplify: Extracting #2: cost 190 inf + 0 * * [misc]simplify: Extracting #3: cost 252 inf + 115 * * [misc]simplify: Extracting #4: cost 251 inf + 3177 * * [misc]simplify: Extracting #5: cost 146 inf + 19677 * * [misc]simplify: Extracting #6: cost 43 inf + 54839 * * [misc]simplify: Extracting #7: cost 0 inf + 74125 * [exit]simplify: Simplified to (+ (log (/ (/ (/ PI 2) (+ a b)) (- b a))) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (/ (/ (/ PI 2) (+ a b)) (- b a))) (log (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 6 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- b a) (- b a)) (- b a))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 111 inf + 0 * * [misc]simplify: Extracting #2: cost 469 inf + 0 * * [misc]simplify: Extracting #3: cost 479 inf + 23666 * * [misc]simplify: Extracting #4: cost 300 inf + 62807 * * [misc]simplify: Extracting #5: cost 158 inf + 110455 * * [misc]simplify: Extracting #6: cost 3 inf + 175557 * * [misc]simplify: Extracting #7: cost 0 inf + 176932 * [exit]simplify: Simplified to (* (* (* (/ (/ PI 2) (* (- b a) (+ a b))) (* (/ (/ PI 2) (* (- b a) (+ a b))) (/ (/ PI 2) (* (- b a) (+ a b))))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (* (/ (/ PI 2) (* (- b a) (+ a b))) (* (/ (/ PI 2) (* (- b a) (+ a b))) (/ (/ PI 2) (* (- b a) (+ a b))))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 9 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (* (* (- b a) (- b a)) (- b a))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 95 inf + 0 * * [misc]simplify: Extracting #2: cost 389 inf + 0 * * [misc]simplify: Extracting #3: cost 369 inf + 14033 * * [misc]simplify: Extracting #4: cost 257 inf + 38942 * * [misc]simplify: Extracting #5: cost 159 inf + 79918 * * [misc]simplify: Extracting #6: cost 26 inf + 135299 * * [misc]simplify: Extracting #7: cost 0 inf + 142614 * [exit]simplify: Simplified to (* (* (- (/ 1 a) (/ 1 b)) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (/ (/ PI 2) (+ a b)) (- b a)))) (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (- (/ 1 a) (/ 1 b)) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (/ (/ PI 2) (+ a b)) (- b a)))) (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 10 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (/ (/ PI 2) (+ a b)) (- b a))) (/ (/ (/ PI 2) (+ a b)) (- b a))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 229 inf + 0 * * [misc]simplify: Extracting #3: cost 270 inf + 6180 * * [misc]simplify: Extracting #4: cost 181 inf + 24310 * * [misc]simplify: Extracting #5: cost 140 inf + 37493 * * [misc]simplify: Extracting #6: cost 30 inf + 83248 * * [misc]simplify: Extracting #7: cost 0 inf + 96915 * [exit]simplify: Simplified to (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (* (* (/ (/ (/ PI (+ a b)) 2) (- b a)) (/ (/ (/ PI (+ a b)) 2) (- b a))) (/ (/ (/ PI (+ a b)) 2) (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (* (* (/ (/ (/ PI (+ a b)) 2) (- b a)) (/ (/ (/ PI (+ a b)) 2) (- b a))) (/ (/ (/ PI (+ a b)) 2) (- b a))))))) * * * * [misc]progress: [ 11 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 2) (+ a b)) (- (* 1 b) (* a 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 28 inf + 0 * * [misc]simplify: Extracting #2: cost 79 inf + 2 * * [misc]simplify: Extracting #3: cost 52 inf + 2315 * * [misc]simplify: Extracting #4: cost 10 inf + 7032 * * [misc]simplify: Extracting #5: cost 0 inf + 8702 * [exit]simplify: Simplified to (/ (- b a) (* (+ a b) (/ 2 PI))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- b a) (* (+ a b) (/ 2 PI))) (* (- b a) (* a b)))) * [enter]simplify: Simplifying (* (- b a) (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 2 * * [misc]simplify: Extracting #3: cost 3 inf + 659 * * [misc]simplify: Extracting #4: cost 0 inf + 944 * [exit]simplify: Simplified to (* (* b (- b a)) a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (- b a) (* (+ a b) (/ 2 PI))) (* (* b (- b a)) a))) * * * * [misc]progress: [ 15 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 2) (+ a b)) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 127 inf + 2 * * [misc]simplify: Extracting #3: cost 209 inf + 870 * * [misc]simplify: Extracting #4: cost 114 inf + 17073 * * [misc]simplify: Extracting #5: cost 12 inf + 36104 * * [misc]simplify: Extracting #6: cost 0 inf + 38798 * [exit]simplify: Simplified to (* (- (/ (/ 1 a) (* a a)) (/ 1 (* (* b b) b))) (/ (/ PI (+ a b)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (- (/ (/ 1 a) (* a a)) (/ 1 (* (* b b) b))) (/ (/ PI (+ a b)) 2)) (* (- b a) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * [enter]simplify: Simplifying (* (- b a) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 58 inf + 0 * * [misc]simplify: Extracting #2: cost 304 inf + 0 * * [misc]simplify: Extracting #3: cost 321 inf + 1275 * * [misc]simplify: Extracting #4: cost 169 inf + 28237 * * [misc]simplify: Extracting #5: cost 23 inf + 61192 * * [misc]simplify: Extracting #6: cost 0 inf + 68901 * [exit]simplify: Simplified to (+ (/ (+ (/ (- b a) a) (/ (- b a) b)) b) (/ (/ (- b a) a) a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) (+ (/ (+ (/ (- b a) a) (/ (- b a) b)) b) (/ (/ (- b a) a) a)))) * * * * [misc]progress: [ 16 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 2) (+ a b)) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 68 inf + 0 * * [misc]simplify: Extracting #2: cost 194 inf + 3 * * [misc]simplify: Extracting #3: cost 195 inf + 2274 * * [misc]simplify: Extracting #4: cost 118 inf + 14902 * * [misc]simplify: Extracting #5: cost 12 inf + 40396 * * [misc]simplify: Extracting #6: cost 0 inf + 42770 * [exit]simplify: Simplified to (/ (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ 2 (/ PI (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ 2 (/ PI (+ a b)))) (* (- b a) (+ (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (* (- b a) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (416 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 43 inf + 0 * * [misc]simplify: Extracting #2: cost 86 inf + 3 * * [misc]simplify: Extracting #3: cost 82 inf + 129 * * [misc]simplify: Extracting #4: cost 33 inf + 4309 * * [misc]simplify: Extracting #5: cost 3 inf + 8661 * * [misc]simplify: Extracting #6: cost 0 inf + 9229 * [exit]simplify: Simplified to (- (/ b a) (/ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (- (/ b a) (/ a b)))) * * * * [misc]progress: [ 17 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 76 inf + 0 * * [misc]simplify: Extracting #2: cost 206 inf + 47 * * [misc]simplify: Extracting #3: cost 140 inf + 7137 * * [misc]simplify: Extracting #4: cost 14 inf + 25327 * * [misc]simplify: Extracting #5: cost 0 inf + 28141 * [exit]simplify: Simplified to (/ (/ (/ (/ PI (+ a b)) -2) (- b a)) b) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ 1 a)) (/ (/ (/ (/ PI (+ a b)) -2) (- b a)) b))) * * * * [misc]progress: [ 19 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 76 inf + 0 * * [misc]simplify: Extracting #2: cost 206 inf + 47 * * [misc]simplify: Extracting #3: cost 140 inf + 7137 * * [misc]simplify: Extracting #4: cost 14 inf + 25327 * * [misc]simplify: Extracting #5: cost 0 inf + 28141 * [exit]simplify: Simplified to (/ (/ (/ (/ PI (+ a b)) -2) (- b a)) b) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ 1 a)) (/ (/ (/ (/ PI (+ a b)) -2) (- b a)) b))) * * * * [misc]progress: [ 20 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 b)) (/ (/ (/ PI 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 72 inf + 0 * * [misc]simplify: Extracting #2: cost 194 inf + 5 * * [misc]simplify: Extracting #3: cost 116 inf + 9390 * * [misc]simplify: Extracting #4: cost 12 inf + 24906 * * [misc]simplify: Extracting #5: cost 0 inf + 27027 * [exit]simplify: Simplified to (/ (* -1/2 (/ PI (+ a b))) (* (- b a) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (* (/ 1 a) (/ (/ (/ PI 2) (+ a b)) (- b a))) (/ (* -1/2 (/ PI (+ a b))) (* (- b a) b)))) * * * * [misc]progress: [ 21 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 b)) (/ (/ (/ PI 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 72 inf + 0 * * [misc]simplify: Extracting #2: cost 194 inf + 5 * * [misc]simplify: Extracting #3: cost 116 inf + 9390 * * [misc]simplify: Extracting #4: cost 12 inf + 24906 * * [misc]simplify: Extracting #5: cost 0 inf + 27027 * [exit]simplify: Simplified to (/ (* -1/2 (/ PI (+ a b))) (* (- b a) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (* (/ 1 a) (/ (/ (/ PI 2) (+ a b)) (- b a))) (/ (* -1/2 (/ PI (+ a b))) (* (- b a) b)))) * * * * [misc]progress: [ 22 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 4 * * [misc]simplify: Extracting #5: cost 0 inf + 456 * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (cbrt (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 23 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 4 * * [misc]simplify: Extracting #5: cost 0 inf + 416 * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) (sqrt (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 24 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) 1) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 25 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 576 * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) * * * * [misc]progress: [ 26 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) 1) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 27 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) 1) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 28 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) 1) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 29 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) 1) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 30 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 62 inf + 2 * * [misc]simplify: Extracting #5: cost 78 inf + 1808 * * [misc]simplify: Extracting #6: cost 17 inf + 9630 * * [misc]simplify: Extracting #7: cost 0 inf + 12110 * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a)))) (* (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 31 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (320 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 60 inf + 2 * * [misc]simplify: Extracting #4: cost 79 inf + 1683 * * [misc]simplify: Extracting #5: cost 19 inf + 8988 * * [misc]simplify: Extracting #6: cost 0 inf + 11668 * * [misc]simplify: Extracting #7: cost 0 inf + 11628 * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (* (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 32 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 88 * * [misc]simplify: Extracting #5: cost 4 inf + 2165 * * [misc]simplify: Extracting #6: cost 0 inf + 3621 * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a)))) (* (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 33 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 88 * * [misc]simplify: Extracting #5: cost 4 inf + 831 * * [misc]simplify: Extracting #6: cost 0 inf + 2087 * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (sqrt (- b a))) (* (/ (cbrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 34 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 3 * * [misc]simplify: Extracting #5: cost 6 inf + 214 * * [misc]simplify: Extracting #6: cost 2 inf + 667 * * [misc]simplify: Extracting #7: cost 0 inf + 1156 * [exit]simplify: Simplified to (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (* (/ (cbrt (/ (/ PI 2) (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 35 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI 2) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 831 * * [misc]simplify: Extracting #6: cost 0 inf + 1681 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) (cbrt (- b a))) (* (/ (sqrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 36 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 170 * * [misc]simplify: Extracting #5: cost 1 inf + 791 * * [misc]simplify: Extracting #6: cost 0 inf + 1075 * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) (* (/ (sqrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 37 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI 2) (+ a b))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 3 * * [misc]simplify: Extracting #4: cost 3 inf + 256 * * [misc]simplify: Extracting #5: cost 0 inf + 627 * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (/ PI 2) (+ a b))) (* (/ (sqrt (/ (/ PI 2) (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 38 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 34 inf + 0 * * [misc]simplify: Extracting #2: cost 37 inf + 0 * * [misc]simplify: Extracting #3: cost 42 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 4 * * [misc]simplify: Extracting #5: cost 25 inf + 2517 * * [misc]simplify: Extracting #6: cost 2 inf + 11079 * * [misc]simplify: Extracting #7: cost 0 inf + 11767 * * [misc]simplify: Extracting #8: cost 0 inf + 11727 * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (+ a b))))) (* (/ (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 39 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 4 * * [misc]simplify: Extracting #5: cost 13 inf + 2275 * * [misc]simplify: Extracting #6: cost 0 inf + 6645 * * [misc]simplify: Extracting #7: cost 0 inf + 6565 * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (sqrt (- b a))) (* (/ (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 40 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 5 * * [misc]simplify: Extracting #5: cost 13 inf + 211 * * [misc]simplify: Extracting #6: cost 5 inf + 2076 * * [misc]simplify: Extracting #7: cost 0 inf + 3696 * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (* (/ (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 41 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 4 * * [misc]simplify: Extracting #5: cost 8 inf + 3657 * * [misc]simplify: Extracting #6: cost 0 inf + 6565 * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) (sqrt (+ a b))) (* (/ (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 42 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 46 * * [misc]simplify: Extracting #5: cost 9 inf + 903 * * [misc]simplify: Extracting #6: cost 0 inf + 3497 * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (/ (* (sqrt (- b a)) (sqrt (+ a b))) (cbrt (/ PI 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (/ PI 2)) (/ (* (sqrt (- b a)) (sqrt (+ a b))) (cbrt (/ PI 2)))) (* (/ (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 43 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 5 * * [misc]simplify: Extracting #5: cost 5 inf + 374 * * [misc]simplify: Extracting #6: cost 0 inf + 1390 * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (/ (cbrt (/ PI 2)) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ PI 2)) (/ (cbrt (/ PI 2)) (sqrt (+ a b)))) (* (/ (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 44 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 127 inf + 0 * * [misc]simplify: Extracting #2: cost 271 inf + 1 * * [misc]simplify: Extracting #3: cost 296 inf + 1 * * [misc]simplify: Extracting #4: cost 273 inf + 2809 * * [misc]simplify: Extracting #5: cost 186 inf + 17225 * * [misc]simplify: Extracting #6: cost 90 inf + 45128 * * [misc]simplify: Extracting #7: cost 0 inf + 74548 * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) (* (/ (/ (cbrt (/ PI 2)) (+ a b)) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 45 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 88 * * [misc]simplify: Extracting #5: cost 1 inf + 1187 * * [misc]simplify: Extracting #6: cost 0 inf + 1431 * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a))) (* (/ (/ (cbrt (/ PI 2)) (+ a b)) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 46 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 3 * * [misc]simplify: Extracting #5: cost 1 inf + 329 * * [misc]simplify: Extracting #6: cost 0 inf + 492 * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (/ (/ (cbrt (/ PI 2)) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 47 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 45 * * [misc]simplify: Extracting #5: cost 6 inf + 3001 * * [misc]simplify: Extracting #6: cost 0 inf + 4861 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (+ b a)))) (* (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 48 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 4 * * [misc]simplify: Extracting #5: cost 7 inf + 701 * * [misc]simplify: Extracting #6: cost 1 inf + 2239 * * [misc]simplify: Extracting #7: cost 0 inf + 2643 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (cbrt (+ b a))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (cbrt (+ b a))) (sqrt (- b a))) (* (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 49 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 5 * * [misc]simplify: Extracting #5: cost 4 inf + 171 * * [misc]simplify: Extracting #6: cost 1 inf + 699 * * [misc]simplify: Extracting #7: cost 0 inf + 983 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (cbrt (+ b a))) (* (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 50 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 46 * * [misc]simplify: Extracting #5: cost 6 inf + 901 * * [misc]simplify: Extracting #6: cost 0 inf + 2643 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (* (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI 2)) (* (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (+ b a)))) (* (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 51 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 87 * * [misc]simplify: Extracting #5: cost 4 inf + 417 * * [misc]simplify: Extracting #6: cost 0 inf + 1351 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (sqrt (- b a))) (* (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 52 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 129 * * [misc]simplify: Extracting #5: cost 1 inf + 253 * * [misc]simplify: Extracting #6: cost 0 inf + 457 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (* (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 53 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 3 inf + 334 * * [misc]simplify: Extracting #6: cost 0 inf + 1024 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI 2)) (cbrt (- b a))) (cbrt (- b a))) (* (/ (/ (sqrt (/ PI 2)) (+ a b)) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 54 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 170 * * [misc]simplify: Extracting #5: cost 0 inf + 498 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI 2)) (sqrt (- b a))) (* (/ (/ (sqrt (/ PI 2)) (+ a b)) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 55 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 127 * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ PI 2)) (* (/ (/ (sqrt (/ PI 2)) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 56 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 87 * * [misc]simplify: Extracting #5: cost 7 inf + 1910 * * [misc]simplify: Extracting #6: cost 0 inf + 4168 * * [misc]simplify: Extracting #7: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) (* (/ (/ (/ PI 2) (cbrt (+ a b))) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 57 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 87 * * [misc]simplify: Extracting #5: cost 5 inf + 940 * * [misc]simplify: Extracting #6: cost 0 inf + 2113 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (* (cbrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ a b))) (* (cbrt (+ a b)) (sqrt (- b a)))) (* (/ (/ (/ PI 2) (cbrt (+ a b))) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 58 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 167 * * [misc]simplify: Extracting #5: cost 1 inf + 492 * * [misc]simplify: Extracting #6: cost 0 inf + 695 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (* (/ (/ (/ PI 2) (cbrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 59 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 45 * * [misc]simplify: Extracting #5: cost 6 inf + 618 * * [misc]simplify: Extracting #6: cost 0 inf + 2113 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (sqrt (+ a b))) (* (/ (/ (/ PI 2) (sqrt (+ a b))) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 60 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 44 * * [misc]simplify: Extracting #5: cost 1 inf + 860 * * [misc]simplify: Extracting #6: cost 0 inf + 983 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) (* (/ (/ (/ PI 2) (sqrt (+ a b))) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 61 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 3 * * [misc]simplify: Extracting #5: cost 2 inf + 45 * * [misc]simplify: Extracting #6: cost 0 inf + 250 * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (* (/ (/ (/ PI 2) (sqrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 62 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 736 * [exit]simplify: Simplified to (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (* (/ (/ (/ PI 2) (+ a b)) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 63 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 291 * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (- b a))) (* (/ (/ (/ PI 2) (+ a b)) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 64 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 65 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 87 * * [misc]simplify: Extracting #5: cost 2 inf + 3522 * * [misc]simplify: Extracting #6: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ (/ PI (* (cbrt (+ a b)) (cbrt (- b a)))) (* (cbrt (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (* (cbrt (+ a b)) (cbrt (- b a)))) (* (cbrt (+ a b)) (cbrt (- b a)))) (* (/ (/ (/ 1 2) (cbrt (+ a b))) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 66 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 87 * * [misc]simplify: Extracting #5: cost 5 inf + 940 * * [misc]simplify: Extracting #6: cost 0 inf + 2113 * [exit]simplify: Simplified to (/ (/ (/ PI (cbrt (+ a b))) (sqrt (- b a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (cbrt (+ a b))) (sqrt (- b a))) (cbrt (+ a b))) (* (/ (/ (/ 1 2) (cbrt (+ a b))) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 67 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 2 * * [misc]simplify: Extracting #3: cost 7 inf + 2 * * [misc]simplify: Extracting #4: cost 5 inf + 4 * * [misc]simplify: Extracting #5: cost 3 inf + 168 * * [misc]simplify: Extracting #6: cost 1 inf + 493 * * [misc]simplify: Extracting #7: cost 0 inf + 696 * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) (* (/ (/ (/ 1 2) (cbrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 68 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 45 * * [misc]simplify: Extracting #5: cost 6 inf + 618 * * [misc]simplify: Extracting #6: cost 0 inf + 2113 * [exit]simplify: Simplified to (/ (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (sqrt (+ a b))) (* (/ (/ (/ 1 2) (sqrt (+ a b))) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 69 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 983 * [exit]simplify: Simplified to (/ (/ PI (sqrt (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (sqrt (+ a b))) (sqrt (- b a))) (* (/ (/ (/ 1 2) (sqrt (+ a b))) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 70 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 2 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 1 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 251 * [exit]simplify: Simplified to (/ PI (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (sqrt (+ a b))) (* (/ (/ (/ 1 2) (sqrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 71 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 736 * [exit]simplify: Simplified to (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (* (/ (/ (/ 1 2) (+ a b)) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 72 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 291 * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (sqrt (- b a))) (* (/ (/ (/ 1 2) (+ a b)) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 73 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1) to (λ (a b) (* PI (* (/ (/ (/ 1 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 74 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 736 * [exit]simplify: Simplified to (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (* (/ (/ (/ PI 2) (+ a b)) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 75 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 291 * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (- b a))) (* (/ (/ (/ PI 2) (+ a b)) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 76 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 77 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 2 * * [misc]simplify: Extracting #3: cost 12 inf + 44 * * [misc]simplify: Extracting #4: cost 8 inf + 129 * * [misc]simplify: Extracting #5: cost 2 inf + 1146 * * [misc]simplify: Extracting #6: cost 0 inf + 1593 * [exit]simplify: Simplified to (/ (/ (/ PI 2) (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI 2) (cbrt (- b a))) (cbrt (- b a))) (* (/ (/ 1 (+ a b)) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 78 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 8 inf + 44 * * [misc]simplify: Extracting #4: cost 0 inf + 621 * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI 2) (sqrt (- b a))) (* (/ (/ 1 (+ a b)) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 79 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 3 * * [misc]simplify: Extracting #3: cost 0 inf + 45 * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI 2) (* (/ (/ 1 (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 80 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (442 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 2 * * [misc]simplify: Extracting #3: cost 101 inf + 44 * * [misc]simplify: Extracting #4: cost 93 inf + 1774 * * [misc]simplify: Extracting #5: cost 45 inf + 12504 * * [misc]simplify: Extracting #6: cost 10 inf + 22117 * * [misc]simplify: Extracting #7: cost 0 inf + 26747 * [exit]simplify: Simplified to (/ (/ PI (* (cbrt (- b a)) (* (cbrt (- b a)) 2))) (+ (* (* a a) a) (* b (* b b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (* (cbrt (- b a)) (* (cbrt (- b a)) 2))) (+ (* (* a a) a) (* b (* b b)))) (* (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 81 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 2 * * [misc]simplify: Extracting #3: cost 41 inf + 44 * * [misc]simplify: Extracting #4: cost 30 inf + 630 * * [misc]simplify: Extracting #5: cost 11 inf + 4021 * * [misc]simplify: Extracting #6: cost 0 inf + 6729 * * [misc]simplify: Extracting #7: cost 0 inf + 6216 * [exit]simplify: Simplified to (/ (/ (/ PI 2) (sqrt (- b a))) (+ (* a (* a a)) (* (* b b) b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI 2) (sqrt (- b a))) (+ (* a (* a a)) (* (* b b) b))) (* (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 82 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 45 * * [misc]simplify: Extracting #4: cost 11 inf + 343 * * [misc]simplify: Extracting #5: cost 4 inf + 784 * * [misc]simplify: Extracting #6: cost 0 inf + 1756 * [exit]simplify: Simplified to (/ (/ PI 2) (+ (* a (* a a)) (* b (* b b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI 2) (+ (* a (* a a)) (* b (* b b)))) (* (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 83 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 31 inf + 0 * * [misc]simplify: Extracting #2: cost 131 inf + 2 * * [misc]simplify: Extracting #3: cost 152 inf + 740 * * [misc]simplify: Extracting #4: cost 55 inf + 20457 * * [misc]simplify: Extracting #5: cost 0 inf + 32719 * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI 2) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (/ (- a b) (cbrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 84 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (- (* a a) (* b b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 26 inf + 0 * * [misc]simplify: Extracting #2: cost 184 inf + 2 * * [misc]simplify: Extracting #3: cost 200 inf + 3547 * * [misc]simplify: Extracting #4: cost 52 inf + 30846 * * [misc]simplify: Extracting #5: cost 0 inf + 41893 * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- (* a a) (* b b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI 2) (- (* a a) (* b b))) (sqrt (- b a))) (* (/ (- a b) (sqrt (- b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 85 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (- (* a a) (* b b))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 52 inf + 3 * * [misc]simplify: Extracting #3: cost 58 inf + 956 * * [misc]simplify: Extracting #4: cost 8 inf + 6554 * * [misc]simplify: Extracting #5: cost 0 inf + 7852 * [exit]simplify: Simplified to (/ (/ PI (* 2 (+ a b))) (- a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (* 2 (+ a b))) (- a b)) (* (/ (- a b) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 86 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 462 * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI 2) (+ a b)) (* (/ 1 (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 88 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 80 inf + 2 * * [misc]simplify: Extracting #3: cost 132 inf + 665 * * [misc]simplify: Extracting #4: cost 94 inf + 4902 * * [misc]simplify: Extracting #5: cost 14 inf + 23774 * * [misc]simplify: Extracting #6: cost 0 inf + 27444 * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- (* b (* b b)) (* (* a a) a))) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI 2) (- (* b (* b b)) (* (* a a) a))) (+ a b)) (* (+ (* b b) (+ (* a a) (* b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 89 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 160 inf + 2 * * [misc]simplify: Extracting #3: cost 295 inf + 334 * * [misc]simplify: Extracting #4: cost 179 inf + 17324 * * [misc]simplify: Extracting #5: cost 4 inf + 53312 * * [misc]simplify: Extracting #6: cost 0 inf + 54604 * [exit]simplify: Simplified to (/ (/ (/ (/ PI 2) (+ a b)) (+ a b)) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (/ PI 2) (+ a b)) (+ a b)) (- b a)) (* (+ b a) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 90 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (* 1 b) (* a 1))) (* a b))) * * * * [misc]progress: [ 91 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 210 * * [misc]simplify: Extracting #4: cost 3 inf + 1150 * * [misc]simplify: Extracting #5: cost 0 inf + 1679 * [exit]simplify: Simplified to (+ (/ (+ (/ 1 a) (/ 1 b)) a) (* (/ 1 b) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) (+ (/ (+ (/ 1 a) (/ 1 b)) a) (* (/ 1 b) (/ 1 b))))) * * * * [misc]progress: [ 92 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 3 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 210 * [exit]simplify: Simplified to (+ (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (+ (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 93 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 35 inf + 0 * * [misc]simplify: Extracting #2: cost 119 inf + 45 * * [misc]simplify: Extracting #3: cost 140 inf + 1122 * * [misc]simplify: Extracting #4: cost 36 inf + 13407 * * [misc]simplify: Extracting #5: cost 0 inf + 18817 * [exit]simplify: Simplified to (- (/ (/ (/ PI 2) (+ a b)) a) (/ (/ (/ PI 2) (+ a b)) b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (/ (/ (/ PI 2) (+ a b)) a) (/ (/ (/ PI 2) (+ a b)) b)) (- b a))) * * * * [misc]progress: [ 94 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI 2)) (log (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 2 * * [misc]simplify: Extracting #4: cost 12 inf + 300 * * [misc]simplify: Extracting #5: cost 5 inf + 1386 * * [misc]simplify: Extracting #6: cost 0 inf + 2671 * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (+ b a))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (exp (- (log (/ PI 2)) (log (+ b a)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 97 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 98 inf + 0 * * [misc]simplify: Extracting #2: cost 243 inf + 618 * * [misc]simplify: Extracting #3: cost 224 inf + 13501 * * [misc]simplify: Extracting #4: cost 43 inf + 45733 * * [misc]simplify: Extracting #5: cost 0 inf + 54411 * * [misc]simplify: Extracting #6: cost 0 inf + 54291 * [exit]simplify: Simplified to (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (cbrt (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 100 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 1710 * * [misc]simplify: Extracting #6: cost 0 inf + 2520 * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (* (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 168 * * [misc]simplify: Extracting #5: cost 0 inf + 616 * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (cbrt (+ b a)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 105 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 1226 * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (/ (cbrt (/ PI 2)) (sqrt (+ a b)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 536 * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (/ (cbrt (/ PI 2)) (sqrt (+ b a)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 106 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 3 * * [misc]simplify: Extracting #5: cost 1 inf + 329 * * [misc]simplify: Extracting #6: cost 0 inf + 492 * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (cbrt (/ PI 2)) (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 44 * * [misc]simplify: Extracting #4: cost 3 inf + 46 * * [misc]simplify: Extracting #5: cost 0 inf + 414 * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (+ b a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (cbrt (/ PI 2)) (+ b a))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 107 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 4 inf + 330 * * [misc]simplify: Extracting #5: cost 0 inf + 982 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (* (/ (sqrt (/ PI 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 168 * * [misc]simplify: Extracting #5: cost 0 inf + 536 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2)) (cbrt (+ b a)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 108 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 456 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (* (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 456 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ b a)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 109 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 127 * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (* (sqrt (/ PI 2)) (/ (sqrt (/ PI 2)) (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 44 * * [misc]simplify: Extracting #4: cost 3 inf + 46 * * [misc]simplify: Extracting #5: cost 0 inf + 334 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (+ b a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* (sqrt (/ PI 2)) (/ (sqrt (/ PI 2)) (+ b a))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 110 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 695 * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ PI 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 7 inf + 44 * * [misc]simplify: Extracting #4: cost 0 inf + 740 * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 111 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 250 * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (* (/ 1 (sqrt (+ a b))) (/ (/ PI 2) (sqrt (+ a b)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 7 inf + 44 * * [misc]simplify: Extracting #4: cost 0 inf + 580 * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* (/ 1 (sqrt (+ a b))) (/ (/ PI 2) (sqrt (+ a b)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 112 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (* 1 (/ (/ PI 2) (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ PI 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 462 * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* 1 (/ (/ PI 2) (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 113 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 695 * [exit]simplify: Simplified to (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (* (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 3 * * [misc]simplify: Extracting #3: cost 7 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 658 * [exit]simplify: Simplified to (/ 1/2 (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ 1/2 (cbrt (+ a b)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 114 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 250 * [exit]simplify: Simplified to (/ PI (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (* (/ PI (sqrt (+ a b))) (/ (/ 1 2) (sqrt (+ a b)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 3 * * [misc]simplify: Extracting #3: cost 7 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 498 * [exit]simplify: Simplified to (/ 1/2 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* (/ PI (sqrt (+ a b))) (/ 1/2 (sqrt (+ a b)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 115 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (* PI (/ (/ 1 2) (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 3 * * [misc]simplify: Extracting #3: cost 1 inf + 338 * * [misc]simplify: Extracting #4: cost 0 inf + 380 * [exit]simplify: Simplified to (/ 1/2 (+ a b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* PI (/ 1/2 (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 116 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 166 * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (/ (/ (/ PI 2) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 120 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 126 * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (/ (/ (/ PI 2) (sqrt (+ a b))) (sqrt (+ b a))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 121 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (+ a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (/ (/ (/ PI 2) 1) (+ b a)) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 122 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (+ a b) (cbrt (/ PI 2)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 123 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 126 * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (/ (sqrt (/ PI 2)) (/ (+ a b) (sqrt (/ PI 2)))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 124 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 126 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 84 * * [misc]simplify: Extracting #4: cost 6 inf + 1026 * * [misc]simplify: Extracting #5: cost 0 inf + 1717 * [exit]simplify: Simplified to (- (* b b) (* (- b a) a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (- (* b b) (* (- b a) a))) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 127 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 43 * * [misc]simplify: Extracting #3: cost 0 inf + 85 * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* (/ (/ PI 2) (- (* a a) (* b b))) (- a b)) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 128 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 129 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 130 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ PI 2)) (log (+ a b))) (log (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 61 inf + 0 * * [misc]simplify: Extracting #2: cost 130 inf + 0 * * [misc]simplify: Extracting #3: cost 128 inf + 308 * * [misc]simplify: Extracting #4: cost 120 inf + 688 * * [misc]simplify: Extracting #5: cost 102 inf + 4364 * * [misc]simplify: Extracting #6: cost 12 inf + 28102 * * [misc]simplify: Extracting #7: cost 0 inf + 32326 * [exit]simplify: Simplified to (- (log (/ PI 2)) (+ (log (- b a)) (log (+ b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (- (log (/ PI 2)) (+ (log (- b a)) (log (+ b a))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 131 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ PI 2) (+ a b))) (log (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 51 inf + 0 * * [misc]simplify: Extracting #2: cost 88 inf + 0 * * [misc]simplify: Extracting #3: cost 91 inf + 2 * * [misc]simplify: Extracting #4: cost 82 inf + 438 * * [misc]simplify: Extracting #5: cost 52 inf + 6088 * * [misc]simplify: Extracting #6: cost 9 inf + 19280 * * [misc]simplify: Extracting #7: cost 0 inf + 22503 * [exit]simplify: Simplified to (- (log (/ (/ PI 2) (+ a b))) (log (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (- (log (/ (/ PI 2) (+ a b))) (log (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 132 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 133 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 134 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 87 inf + 0 * * [misc]simplify: Extracting #2: cost 242 inf + 1 * * [misc]simplify: Extracting #3: cost 236 inf + 11486 * * [misc]simplify: Extracting #4: cost 29 inf + 56660 * * [misc]simplify: Extracting #5: cost 0 inf + 64347 * * [misc]simplify: Extracting #6: cost 0 inf + 64307 * [exit]simplify: Simplified to (* (* (/ (/ PI 2) (* (- b a) (+ a b))) (/ (/ PI 2) (* (- b a) (+ a b)))) (/ (/ PI 2) (* (- b a) (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (cbrt (* (* (/ (/ PI 2) (* (- b a) (+ a b))) (/ (/ PI 2) (* (- b a) (+ a b)))) (/ (/ PI 2) (* (- b a) (+ a b))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 135 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 62 inf + 0 * * [misc]simplify: Extracting #2: cost 170 inf + 2 * * [misc]simplify: Extracting #3: cost 174 inf + 1455 * * [misc]simplify: Extracting #4: cost 83 inf + 18100 * * [misc]simplify: Extracting #5: cost 3 inf + 38159 * * [misc]simplify: Extracting #6: cost 0 inf + 38851 * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (/ (/ PI 2) (+ a b)) (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (cbrt (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (/ (/ PI 2) (+ a b)) (- b a))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 136 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 137 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 138 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 139 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 140 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 88 * * [misc]simplify: Extracting #5: cost 4 inf + 2165 * * [misc]simplify: Extracting #6: cost 0 inf + 3621 * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (* (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 170 * * [misc]simplify: Extracting #5: cost 1 inf + 871 * * [misc]simplify: Extracting #6: cost 0 inf + 1235 * [exit]simplify: Simplified to (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 141 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 88 * * [misc]simplify: Extracting #5: cost 4 inf + 831 * * [misc]simplify: Extracting #6: cost 0 inf + 2087 * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (sqrt (- b a))) (/ (cbrt (/ (/ PI 2) (+ a b))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 170 * * [misc]simplify: Extracting #5: cost 1 inf + 831 * * [misc]simplify: Extracting #6: cost 0 inf + 1155 * [exit]simplify: Simplified to (/ (cbrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (sqrt (- b a))) (/ (cbrt (/ (/ PI 2) (+ a b))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 142 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 3 * * [misc]simplify: Extracting #5: cost 6 inf + 214 * * [misc]simplify: Extracting #6: cost 2 inf + 667 * * [misc]simplify: Extracting #7: cost 0 inf + 1156 * [exit]simplify: Simplified to (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (/ (cbrt (/ (/ PI 2) (+ a b))) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ PI 2) (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 85 * * [misc]simplify: Extracting #4: cost 8 inf + 129 * * [misc]simplify: Extracting #5: cost 0 inf + 1033 * [exit]simplify: Simplified to (/ (cbrt (/ (/ PI 2) (+ a b))) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (/ (cbrt (/ (/ PI 2) (+ a b))) (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 143 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI 2) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 831 * * [misc]simplify: Extracting #6: cost 0 inf + 1681 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ (sqrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) (cbrt (- b a))) (/ (sqrt (/ (/ PI 2) (+ a b))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 170 * * [misc]simplify: Extracting #5: cost 1 inf + 831 * * [misc]simplify: Extracting #6: cost 0 inf + 1155 * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (sqrt (/ (/ PI 2) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ (/ PI 2) (+ a b))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 144 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 170 * * [misc]simplify: Extracting #5: cost 1 inf + 791 * * [misc]simplify: Extracting #6: cost 0 inf + 1075 * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (sqrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) (/ (sqrt (/ (/ PI 2) (+ a b))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 170 * * [misc]simplify: Extracting #5: cost 1 inf + 791 * * [misc]simplify: Extracting #6: cost 0 inf + 1075 * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (sqrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) (/ (sqrt (/ (/ PI 2) (+ a b))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 145 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI 2) (+ a b))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 3 * * [misc]simplify: Extracting #4: cost 3 inf + 256 * * [misc]simplify: Extracting #5: cost 0 inf + 627 * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (sqrt (/ (/ PI 2) (+ a b))) (/ (sqrt (/ (/ PI 2) (+ a b))) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI 2) (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 85 * * [misc]simplify: Extracting #4: cost 8 inf + 129 * * [misc]simplify: Extracting #5: cost 0 inf + 953 * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI 2) (+ a b))) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (sqrt (/ (/ PI 2) (+ a b))) (/ (sqrt (/ (/ PI 2) (+ a b))) (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 146 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 34 inf + 0 * * [misc]simplify: Extracting #2: cost 37 inf + 0 * * [misc]simplify: Extracting #3: cost 42 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 4 * * [misc]simplify: Extracting #5: cost 25 inf + 2517 * * [misc]simplify: Extracting #6: cost 2 inf + 11079 * * [misc]simplify: Extracting #7: cost 0 inf + 11767 * * [misc]simplify: Extracting #8: cost 0 inf + 11727 * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (+ a b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (* (/ (cbrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (+ a b))))) (/ (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 87 * * [misc]simplify: Extracting #5: cost 4 inf + 537 * * [misc]simplify: Extracting #6: cost 0 inf + 1831 * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 147 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 4 * * [misc]simplify: Extracting #5: cost 13 inf + 2275 * * [misc]simplify: Extracting #6: cost 0 inf + 6645 * * [misc]simplify: Extracting #7: cost 0 inf + 6565 * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (sqrt (- b a))) (/ (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 87 * * [misc]simplify: Extracting #5: cost 4 inf + 497 * * [misc]simplify: Extracting #6: cost 0 inf + 1671 * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) (/ (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 148 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 5 * * [misc]simplify: Extracting #5: cost 13 inf + 211 * * [misc]simplify: Extracting #6: cost 5 inf + 2076 * * [misc]simplify: Extracting #7: cost 0 inf + 3696 * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (/ (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 85 * * [misc]simplify: Extracting #4: cost 8 inf + 615 * * [misc]simplify: Extracting #5: cost 3 inf + 1305 * * [misc]simplify: Extracting #6: cost 0 inf + 2157 * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (/ (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 149 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 4 * * [misc]simplify: Extracting #5: cost 8 inf + 3657 * * [misc]simplify: Extracting #6: cost 0 inf + 6565 * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) (sqrt (+ a b))) (/ (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 87 * * [misc]simplify: Extracting #5: cost 4 inf + 497 * * [misc]simplify: Extracting #6: cost 0 inf + 1671 * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) (sqrt (+ b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (cbrt (/ PI 2)) (sqrt (+ b a))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 150 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 46 * * [misc]simplify: Extracting #5: cost 9 inf + 903 * * [misc]simplify: Extracting #6: cost 0 inf + 3497 * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (/ (* (sqrt (- b a)) (sqrt (+ a b))) (cbrt (/ PI 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (cbrt (/ PI 2)) (/ (* (sqrt (- b a)) (sqrt (+ a b))) (cbrt (/ PI 2)))) (/ (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 87 * * [misc]simplify: Extracting #5: cost 4 inf + 457 * * [misc]simplify: Extracting #6: cost 0 inf + 1511 * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) (sqrt (+ b a))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (sqrt (- b a))) (/ (/ (cbrt (/ PI 2)) (sqrt (+ b a))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 151 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 5 * * [misc]simplify: Extracting #5: cost 5 inf + 374 * * [misc]simplify: Extracting #6: cost 0 inf + 1390 * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (/ (cbrt (/ PI 2)) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (* (cbrt (/ PI 2)) (/ (cbrt (/ PI 2)) (sqrt (+ a b)))) (/ (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 85 * * [misc]simplify: Extracting #4: cost 8 inf + 495 * * [misc]simplify: Extracting #5: cost 3 inf + 1065 * * [misc]simplify: Extracting #6: cost 0 inf + 1837 * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) (sqrt (+ b a))) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (cbrt (/ PI 2)) (/ (cbrt (/ PI 2)) (sqrt (+ a b)))) (/ (/ (cbrt (/ PI 2)) (sqrt (+ b a))) (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 152 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 127 inf + 0 * * [misc]simplify: Extracting #2: cost 271 inf + 1 * * [misc]simplify: Extracting #3: cost 296 inf + 1 * * [misc]simplify: Extracting #4: cost 273 inf + 2809 * * [misc]simplify: Extracting #5: cost 186 inf + 17225 * * [misc]simplify: Extracting #6: cost 90 inf + 45128 * * [misc]simplify: Extracting #7: cost 0 inf + 74548 * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) (/ (/ (cbrt (/ PI 2)) (+ a b)) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 7 inf + 453 * * [misc]simplify: Extracting #5: cost 1 inf + 1429 * * [misc]simplify: Extracting #6: cost 0 inf + 1793 * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) (+ b a)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) (/ (/ (cbrt (/ PI 2)) (+ b a)) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 153 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 88 * * [misc]simplify: Extracting #5: cost 1 inf + 1187 * * [misc]simplify: Extracting #6: cost 0 inf + 1431 * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a))) (/ (/ (cbrt (/ PI 2)) (+ a b)) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 7 inf + 373 * * [misc]simplify: Extracting #5: cost 1 inf + 1229 * * [misc]simplify: Extracting #6: cost 0 inf + 1553 * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) (+ b a)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a))) (/ (/ (cbrt (/ PI 2)) (+ b a)) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 154 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 3 * * [misc]simplify: Extracting #5: cost 1 inf + 329 * * [misc]simplify: Extracting #6: cost 0 inf + 492 * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (/ (cbrt (/ PI 2)) (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 48 inf + 84 * * [misc]simplify: Extracting #4: cost 22 inf + 2330 * * [misc]simplify: Extracting #5: cost 1 inf + 5136 * * [misc]simplify: Extracting #6: cost 0 inf + 5298 * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (cbrt (/ PI 2)) (* (+ b a) (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 155 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 45 * * [misc]simplify: Extracting #5: cost 6 inf + 3001 * * [misc]simplify: Extracting #6: cost 0 inf + 4861 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ (sqrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (+ b a)))) (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 87 * * [misc]simplify: Extracting #5: cost 4 inf + 497 * * [misc]simplify: Extracting #6: cost 0 inf + 1671 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 156 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 4 * * [misc]simplify: Extracting #5: cost 7 inf + 701 * * [misc]simplify: Extracting #6: cost 1 inf + 2239 * * [misc]simplify: Extracting #7: cost 0 inf + 2643 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (cbrt (+ b a))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (cbrt (+ b a))) (sqrt (- b a))) (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 87 * * [misc]simplify: Extracting #5: cost 4 inf + 457 * * [misc]simplify: Extracting #6: cost 0 inf + 1511 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 157 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 5 * * [misc]simplify: Extracting #5: cost 4 inf + 171 * * [misc]simplify: Extracting #6: cost 1 inf + 699 * * [misc]simplify: Extracting #7: cost 0 inf + 983 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (cbrt (+ b a))) (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 85 * * [misc]simplify: Extracting #4: cost 8 inf + 615 * * [misc]simplify: Extracting #5: cost 3 inf + 1265 * * [misc]simplify: Extracting #6: cost 0 inf + 1997 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (cbrt (+ b a))) (/ (/ (sqrt (/ PI 2)) (cbrt (+ b a))) (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 158 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 46 * * [misc]simplify: Extracting #5: cost 6 inf + 901 * * [misc]simplify: Extracting #6: cost 0 inf + 2643 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (* (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (sqrt (/ PI 2)) (* (* (cbrt (- b a)) (cbrt (- b a))) (sqrt (+ b a)))) (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 87 * * [misc]simplify: Extracting #5: cost 4 inf + 457 * * [misc]simplify: Extracting #6: cost 0 inf + 1511 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 159 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 87 * * [misc]simplify: Extracting #5: cost 4 inf + 417 * * [misc]simplify: Extracting #6: cost 0 inf + 1351 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (sqrt (- b a))) (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 87 * * [misc]simplify: Extracting #5: cost 4 inf + 417 * * [misc]simplify: Extracting #6: cost 0 inf + 1351 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (sqrt (- b a))) (/ (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 160 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 129 * * [misc]simplify: Extracting #5: cost 1 inf + 253 * * [misc]simplify: Extracting #6: cost 0 inf + 457 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 85 * * [misc]simplify: Extracting #4: cost 8 inf + 495 * * [misc]simplify: Extracting #5: cost 3 inf + 1025 * * [misc]simplify: Extracting #6: cost 0 inf + 1677 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (/ (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 161 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 3 inf + 334 * * [misc]simplify: Extracting #6: cost 0 inf + 1024 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ (sqrt (/ PI 2)) (cbrt (- b a))) (cbrt (- b a))) (/ (/ (sqrt (/ PI 2)) (+ a b)) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 7 inf + 453 * * [misc]simplify: Extracting #5: cost 1 inf + 1309 * * [misc]simplify: Extracting #6: cost 0 inf + 1633 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (+ b a)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (sqrt (/ PI 2)) (cbrt (- b a))) (cbrt (- b a))) (/ (/ (sqrt (/ PI 2)) (+ b a)) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 162 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 170 * * [misc]simplify: Extracting #5: cost 0 inf + 498 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (sqrt (/ PI 2)) (sqrt (- b a))) (/ (/ (sqrt (/ PI 2)) (+ a b)) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 7 inf + 373 * * [misc]simplify: Extracting #5: cost 1 inf + 1109 * * [misc]simplify: Extracting #6: cost 0 inf + 1393 * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (+ b a)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (sqrt (/ PI 2)) (sqrt (- b a))) (/ (/ (sqrt (/ PI 2)) (+ b a)) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 163 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 127 * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (sqrt (/ PI 2)) (/ (/ (sqrt (/ PI 2)) (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 48 inf + 84 * * [misc]simplify: Extracting #4: cost 22 inf + 2330 * * [misc]simplify: Extracting #5: cost 1 inf + 4976 * * [misc]simplify: Extracting #6: cost 0 inf + 5138 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (sqrt (/ PI 2)) (/ (sqrt (/ PI 2)) (* (+ b a) (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 164 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 87 * * [misc]simplify: Extracting #5: cost 7 inf + 1910 * * [misc]simplify: Extracting #6: cost 0 inf + 4168 * * [misc]simplify: Extracting #7: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) (/ (/ (/ PI 2) (cbrt (+ a b))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 2 * * [misc]simplify: Extracting #3: cost 17 inf + 44 * * [misc]simplify: Extracting #4: cost 13 inf + 129 * * [misc]simplify: Extracting #5: cost 6 inf + 1227 * * [misc]simplify: Extracting #6: cost 0 inf + 2767 * [exit]simplify: Simplified to (/ (/ (/ PI (cbrt (+ a b))) (cbrt (- b a))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ PI (cbrt (+ a b))) (cbrt (- b a))) 2)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 165 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 87 * * [misc]simplify: Extracting #5: cost 5 inf + 940 * * [misc]simplify: Extracting #6: cost 0 inf + 2113 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (* (cbrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ 1 (cbrt (+ a b))) (* (cbrt (+ a b)) (sqrt (- b a)))) (/ (/ (/ PI 2) (cbrt (+ a b))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 2 * * [misc]simplify: Extracting #3: cost 17 inf + 44 * * [misc]simplify: Extracting #4: cost 13 inf + 129 * * [misc]simplify: Extracting #5: cost 6 inf + 1147 * * [misc]simplify: Extracting #6: cost 0 inf + 2447 * [exit]simplify: Simplified to (/ (/ (/ PI (cbrt (+ a b))) (sqrt (- b a))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) (/ (/ (/ PI (cbrt (+ a b))) (sqrt (- b a))) 2)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 166 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 167 * * [misc]simplify: Extracting #5: cost 1 inf + 492 * * [misc]simplify: Extracting #6: cost 0 inf + 695 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (/ PI 2) (cbrt (+ a b))) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 2 * * [misc]simplify: Extracting #3: cost 27 inf + 213 * * [misc]simplify: Extracting #4: cost 3 inf + 3996 * * [misc]simplify: Extracting #5: cost 0 inf + 4645 * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ a b))) (* (- b a) 2)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ PI (cbrt (+ a b))) (* (- b a) 2))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 167 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 45 * * [misc]simplify: Extracting #5: cost 6 inf + 618 * * [misc]simplify: Extracting #6: cost 0 inf + 2113 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (sqrt (+ a b))) (/ (/ (/ PI 2) (sqrt (+ a b))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 2 * * [misc]simplify: Extracting #3: cost 17 inf + 44 * * [misc]simplify: Extracting #4: cost 13 inf + 129 * * [misc]simplify: Extracting #5: cost 6 inf + 1027 * * [misc]simplify: Extracting #6: cost 0 inf + 2447 * [exit]simplify: Simplified to (/ (/ (/ PI (sqrt (+ a b))) (cbrt (- b a))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ PI (sqrt (+ a b))) (cbrt (- b a))) 2)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 168 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 44 * * [misc]simplify: Extracting #5: cost 1 inf + 860 * * [misc]simplify: Extracting #6: cost 0 inf + 983 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) (/ (/ (/ PI 2) (sqrt (+ a b))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 2 * * [misc]simplify: Extracting #3: cost 17 inf + 44 * * [misc]simplify: Extracting #4: cost 13 inf + 129 * * [misc]simplify: Extracting #5: cost 6 inf + 947 * * [misc]simplify: Extracting #6: cost 0 inf + 2127 * [exit]simplify: Simplified to (/ (/ (/ PI (sqrt (+ a b))) (sqrt (- b a))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) (/ (/ (/ PI (sqrt (+ a b))) (sqrt (- b a))) 2)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 169 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 3 * * [misc]simplify: Extracting #5: cost 2 inf + 45 * * [misc]simplify: Extracting #6: cost 0 inf + 250 * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (sqrt (+ a b))) (/ (/ (/ PI 2) (sqrt (+ a b))) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 2 * * [misc]simplify: Extracting #3: cost 27 inf + 213 * * [misc]simplify: Extracting #4: cost 3 inf + 3316 * * [misc]simplify: Extracting #5: cost 0 inf + 3845 * [exit]simplify: Simplified to (/ (/ PI (sqrt (+ a b))) (* (- b a) 2)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (sqrt (+ a b))) (/ (/ PI (sqrt (+ a b))) (* (- b a) 2))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 170 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 736 * [exit]simplify: Simplified to (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ PI 2) (+ a b)) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 2 * * [misc]simplify: Extracting #3: cost 19 inf + 88 * * [misc]simplify: Extracting #4: cost 7 inf + 1519 * * [misc]simplify: Extracting #5: cost 0 inf + 2899 * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* (+ a b) 2)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ PI (cbrt (- b a))) (* (+ a b) 2))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 171 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 291 * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (sqrt (- b a))) (/ (/ (/ PI 2) (+ a b)) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 2 * * [misc]simplify: Extracting #3: cost 19 inf + 88 * * [misc]simplify: Extracting #4: cost 7 inf + 1319 * * [misc]simplify: Extracting #5: cost 0 inf + 2419 * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (+ a b) 2)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (sqrt (- b a))) (/ (/ PI (sqrt (- b a))) (* (+ a b) 2))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 172 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* 1 (/ (/ (/ PI 2) (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 60 inf + 2 * * [misc]simplify: Extracting #3: cost 71 inf + 1891 * * [misc]simplify: Extracting #4: cost 19 inf + 8653 * * [misc]simplify: Extracting #5: cost 0 inf + 11177 * * [misc]simplify: Extracting #6: cost 0 inf + 10977 * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ a b)) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* 1 (/ (/ (/ PI 2) (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 173 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 87 * * [misc]simplify: Extracting #5: cost 2 inf + 3522 * * [misc]simplify: Extracting #6: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ (/ PI (* (cbrt (+ a b)) (cbrt (- b a)))) (* (cbrt (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ PI (* (cbrt (+ a b)) (cbrt (- b a)))) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ (/ (/ 1 2) (cbrt (+ a b))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 3 * * [misc]simplify: Extracting #4: cost 14 inf + 47 * * [misc]simplify: Extracting #5: cost 6 inf + 1145 * * [misc]simplify: Extracting #6: cost 0 inf + 2603 * [exit]simplify: Simplified to (/ (/ 1/2 (cbrt (- b a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1/2 (cbrt (- b a))) (cbrt (+ a b)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 174 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 87 * * [misc]simplify: Extracting #5: cost 5 inf + 940 * * [misc]simplify: Extracting #6: cost 0 inf + 2113 * [exit]simplify: Simplified to (/ (/ (/ PI (cbrt (+ a b))) (sqrt (- b a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ (/ PI (cbrt (+ a b))) (sqrt (- b a))) (cbrt (+ a b))) (/ (/ (/ 1 2) (cbrt (+ a b))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 3 * * [misc]simplify: Extracting #4: cost 14 inf + 47 * * [misc]simplify: Extracting #5: cost 6 inf + 1065 * * [misc]simplify: Extracting #6: cost 0 inf + 2283 * [exit]simplify: Simplified to (/ (/ 1/2 (sqrt (- b a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) (/ (/ 1/2 (sqrt (- b a))) (cbrt (+ a b)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 175 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 2 * * [misc]simplify: Extracting #3: cost 7 inf + 2 * * [misc]simplify: Extracting #4: cost 5 inf + 4 * * [misc]simplify: Extracting #5: cost 3 inf + 168 * * [misc]simplify: Extracting #6: cost 1 inf + 493 * * [misc]simplify: Extracting #7: cost 0 inf + 696 * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (/ 1 2) (cbrt (+ a b))) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 3 * * [misc]simplify: Extracting #3: cost 21 inf + 255 * * [misc]simplify: Extracting #4: cost 1 inf + 3466 * * [misc]simplify: Extracting #5: cost 0 inf + 3669 * [exit]simplify: Simplified to (/ (/ 1/2 (- b a)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ 1/2 (- b a)) (cbrt (+ a b)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 176 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 45 * * [misc]simplify: Extracting #5: cost 6 inf + 618 * * [misc]simplify: Extracting #6: cost 0 inf + 2113 * [exit]simplify: Simplified to (/ (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (sqrt (+ a b))) (/ (/ (/ 1 2) (sqrt (+ a b))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 3 * * [misc]simplify: Extracting #4: cost 14 inf + 47 * * [misc]simplify: Extracting #5: cost 6 inf + 945 * * [misc]simplify: Extracting #6: cost 0 inf + 2283 * [exit]simplify: Simplified to (/ (/ 1/2 (cbrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ PI (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1/2 (cbrt (- b a))) (sqrt (+ a b)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 177 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 983 * [exit]simplify: Simplified to (/ (/ PI (sqrt (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ PI (sqrt (+ a b))) (sqrt (- b a))) (/ (/ (/ 1 2) (sqrt (+ a b))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 3 * * [misc]simplify: Extracting #4: cost 14 inf + 47 * * [misc]simplify: Extracting #5: cost 6 inf + 865 * * [misc]simplify: Extracting #6: cost 0 inf + 1963 * [exit]simplify: Simplified to (/ (/ 1/2 (sqrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ PI (sqrt (+ a b))) (sqrt (- b a))) (/ (/ 1/2 (sqrt (- b a))) (sqrt (+ a b)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 178 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 2 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 1 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 251 * [exit]simplify: Simplified to (/ PI (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ PI (sqrt (+ a b))) (/ (/ (/ 1 2) (sqrt (+ a b))) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 3 * * [misc]simplify: Extracting #3: cost 21 inf + 255 * * [misc]simplify: Extracting #4: cost 1 inf + 2866 * * [misc]simplify: Extracting #5: cost 0 inf + 3029 * [exit]simplify: Simplified to (/ (/ 1/2 (- b a)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ PI (sqrt (+ a b))) (/ (/ 1/2 (- b a)) (sqrt (+ a b)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 179 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 736 * [exit]simplify: Simplified to (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ 1 2) (+ a b)) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 172 * * [misc]simplify: Extracting #4: cost 7 inf + 1476 * * [misc]simplify: Extracting #5: cost 0 inf + 2735 * [exit]simplify: Simplified to (/ (/ 1/2 (+ a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1/2 (+ a b)) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 180 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 291 * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ PI (sqrt (- b a))) (/ (/ (/ 1 2) (+ a b)) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 172 * * [misc]simplify: Extracting #4: cost 7 inf + 1276 * * [misc]simplify: Extracting #5: cost 0 inf + 2255 * [exit]simplify: Simplified to (/ (/ 1/2 (+ a b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ PI (sqrt (- b a))) (/ (/ 1/2 (+ a b)) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 181 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* PI (/ (/ (/ 1 2) (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 64 inf + 3 * * [misc]simplify: Extracting #3: cost 60 inf + 2129 * * [misc]simplify: Extracting #4: cost 9 inf + 9174 * * [misc]simplify: Extracting #5: cost 0 inf + 10394 * * [misc]simplify: Extracting #6: cost 0 inf + 10354 * [exit]simplify: Simplified to (/ (/ 1/2 (+ a b)) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* PI (/ (/ 1/2 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 182 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 736 * [exit]simplify: Simplified to (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ PI 2) (+ a b)) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 2 * * [misc]simplify: Extracting #3: cost 19 inf + 88 * * [misc]simplify: Extracting #4: cost 7 inf + 1519 * * [misc]simplify: Extracting #5: cost 0 inf + 2899 * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* (+ a b) 2)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ PI (cbrt (- b a))) (* (+ a b) 2))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 183 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 291 * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (sqrt (- b a))) (/ (/ (/ PI 2) (+ a b)) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 2 * * [misc]simplify: Extracting #3: cost 19 inf + 88 * * [misc]simplify: Extracting #4: cost 7 inf + 1319 * * [misc]simplify: Extracting #5: cost 0 inf + 2419 * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (+ a b) 2)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (sqrt (- b a))) (/ (/ PI (sqrt (- b a))) (* (+ a b) 2))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 184 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* 1 (/ (/ (/ PI 2) (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 60 inf + 2 * * [misc]simplify: Extracting #3: cost 71 inf + 1891 * * [misc]simplify: Extracting #4: cost 19 inf + 8653 * * [misc]simplify: Extracting #5: cost 0 inf + 11177 * * [misc]simplify: Extracting #6: cost 0 inf + 10977 * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ a b)) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* 1 (/ (/ (/ PI 2) (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 185 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 2 * * [misc]simplify: Extracting #3: cost 12 inf + 44 * * [misc]simplify: Extracting #4: cost 8 inf + 129 * * [misc]simplify: Extracting #5: cost 2 inf + 1146 * * [misc]simplify: Extracting #6: cost 0 inf + 1593 * [exit]simplify: Simplified to (/ (/ (/ PI 2) (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ (/ PI 2) (cbrt (- b a))) (cbrt (- b a))) (/ (/ 1 (+ a b)) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 1 inf + 1224 * * [misc]simplify: Extracting #4: cost 0 inf + 1265 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ PI 2) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1 (cbrt (- b a))) (+ a b))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 186 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 8 inf + 44 * * [misc]simplify: Extracting #4: cost 0 inf + 621 * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ PI 2) (sqrt (- b a))) (/ (/ 1 (+ a b)) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 1 inf + 984 * * [misc]simplify: Extracting #4: cost 0 inf + 1025 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ PI 2) (sqrt (- b a))) (/ (/ 1 (sqrt (- b a))) (+ a b))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 187 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 3 * * [misc]simplify: Extracting #3: cost 0 inf + 45 * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ PI 2) (/ (/ 1 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 32 inf + 1 * * [misc]simplify: Extracting #3: cost 44 inf + 168 * * [misc]simplify: Extracting #4: cost 11 inf + 3752 * * [misc]simplify: Extracting #5: cost 0 inf + 4892 * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ PI 2) (/ (/ 1 (+ a b)) (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 188 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (442 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 2 * * [misc]simplify: Extracting #3: cost 101 inf + 44 * * [misc]simplify: Extracting #4: cost 93 inf + 1774 * * [misc]simplify: Extracting #5: cost 45 inf + 12504 * * [misc]simplify: Extracting #6: cost 10 inf + 22117 * * [misc]simplify: Extracting #7: cost 0 inf + 26747 * [exit]simplify: Simplified to (/ (/ PI (* (cbrt (- b a)) (* (cbrt (- b a)) 2))) (+ (* (* a a) a) (* b (* b b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ PI (* (cbrt (- b a)) (* (cbrt (- b a)) 2))) (+ (* (* a a) a) (* b (* b b)))) (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 39 inf + 452 * * [misc]simplify: Extracting #4: cost 25 inf + 2076 * * [misc]simplify: Extracting #5: cost 2 inf + 6121 * * [misc]simplify: Extracting #6: cost 0 inf + 6605 * [exit]simplify: Simplified to (/ (+ (* a a) (* (- b a) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (+ (* a a) (* (- b a) b)) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 189 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 2 * * [misc]simplify: Extracting #3: cost 41 inf + 44 * * [misc]simplify: Extracting #4: cost 30 inf + 630 * * [misc]simplify: Extracting #5: cost 11 inf + 4021 * * [misc]simplify: Extracting #6: cost 0 inf + 6729 * * [misc]simplify: Extracting #7: cost 0 inf + 6216 * [exit]simplify: Simplified to (/ (/ (/ PI 2) (sqrt (- b a))) (+ (* a (* a a)) (* (* b b) b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ (/ PI 2) (sqrt (- b a))) (+ (* a (* a a)) (* (* b b) b))) (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 39 inf + 452 * * [misc]simplify: Extracting #4: cost 25 inf + 1876 * * [misc]simplify: Extracting #5: cost 2 inf + 5241 * * [misc]simplify: Extracting #6: cost 0 inf + 5645 * [exit]simplify: Simplified to (/ (+ (* a a) (* (- b a) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (/ (+ (* a a) (* (- b a) b)) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 190 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 45 * * [misc]simplify: Extracting #4: cost 11 inf + 343 * * [misc]simplify: Extracting #5: cost 4 inf + 784 * * [misc]simplify: Extracting #6: cost 0 inf + 1756 * [exit]simplify: Simplified to (/ (/ PI 2) (+ (* a (* a a)) (* b (* b b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ PI 2) (+ (* a (* a a)) (* b (* b b)))) (/ (+ (* a a) (- (* b b) (* a b))) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 41 inf + 0 * * [misc]simplify: Extracting #3: cost 43 inf + 615 * * [misc]simplify: Extracting #4: cost 19 inf + 2736 * * [misc]simplify: Extracting #5: cost 1 inf + 4611 * * [misc]simplify: Extracting #6: cost 0 inf + 4733 * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) 1) (/ (- (* b b) (* (- b a) a)) (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 191 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 31 inf + 0 * * [misc]simplify: Extracting #2: cost 131 inf + 2 * * [misc]simplify: Extracting #3: cost 152 inf + 740 * * [misc]simplify: Extracting #4: cost 55 inf + 20457 * * [misc]simplify: Extracting #5: cost 0 inf + 32719 * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ (/ PI 2) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- a b) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (- a b) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 1018 * [exit]simplify: Simplified to (/ (- a b) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- a b) (cbrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 192 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (- (* a a) (* b b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 26 inf + 0 * * [misc]simplify: Extracting #2: cost 184 inf + 2 * * [misc]simplify: Extracting #3: cost 200 inf + 3547 * * [misc]simplify: Extracting #4: cost 52 inf + 30846 * * [misc]simplify: Extracting #5: cost 0 inf + 41893 * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- (* a a) (* b b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ (/ PI 2) (- (* a a) (* b b))) (sqrt (- b a))) (/ (- a b) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (- a b) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 818 * [exit]simplify: Simplified to (/ (- a b) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (- (* a a) (* b b))) (sqrt (- b a))) (/ (- a b) (sqrt (- b a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 193 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (- (* a a) (* b b))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 52 inf + 3 * * [misc]simplify: Extracting #3: cost 58 inf + 956 * * [misc]simplify: Extracting #4: cost 8 inf + 6554 * * [misc]simplify: Extracting #5: cost 0 inf + 7852 * [exit]simplify: Simplified to (/ (/ PI (* 2 (+ a b))) (- a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ PI (* 2 (+ a b))) (- a b)) (/ (- a b) (- b a))) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (- a b) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 576 * [exit]simplify: Simplified to (/ (- a b) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ PI (* 2 (+ a b))) (- a b)) (/ (- a b) (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 194 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 195 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 196 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 197 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 207 * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ (/ (/ PI 2) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 198 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 167 * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ (/ (/ PI 2) (+ a b)) (sqrt (- b a))) (sqrt (- b a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 199 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 43 * * [misc]simplify: Extracting #3: cost 0 inf + 85 * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ (/ (/ PI 2) (+ a b)) 1) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 200 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 5 inf + 213 * * [misc]simplify: Extracting #6: cost 1 inf + 666 * * [misc]simplify: Extracting #7: cost 0 inf + 910 * [exit]simplify: Simplified to (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (/ (- b a) (cbrt (/ (/ PI 2) (+ a b))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 201 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 626 * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (sqrt (/ (/ PI 2) (+ a b))) (/ (- b a) (sqrt (/ (/ PI 2) (+ a b))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 202 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 1710 * * [misc]simplify: Extracting #6: cost 0 inf + 2520 * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (/ (- b a) (/ (cbrt (/ PI 2)) (cbrt (+ a b))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 203 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 1226 * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (/ (- b a) (/ (cbrt (/ PI 2)) (sqrt (+ a b))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 204 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 3 * * [misc]simplify: Extracting #5: cost 1 inf + 329 * * [misc]simplify: Extracting #6: cost 0 inf + 492 * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (- b a) (/ (cbrt (/ PI 2)) (+ a b)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 205 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 4 inf + 330 * * [misc]simplify: Extracting #5: cost 0 inf + 982 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (/ (sqrt (/ PI 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (- b a) (/ (sqrt (/ PI 2)) (cbrt (+ a b))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 206 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 456 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (/ (- b a) (/ (sqrt (/ PI 2)) (sqrt (+ a b))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 207 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 127 * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (sqrt (/ PI 2)) (/ (- b a) (/ (sqrt (/ PI 2)) (+ a b)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 208 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 695 * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- b a) (/ (/ PI 2) (cbrt (+ a b))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 209 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 250 * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) (/ (- b a) (/ (/ PI 2) (sqrt (+ a b))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 210 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ 1 (/ (- b a) (/ (/ PI 2) (+ a b)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 211 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 695 * [exit]simplify: Simplified to (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- b a) (/ (/ 1 2) (cbrt (+ a b))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 212 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 250 * [exit]simplify: Simplified to (/ PI (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (/ PI (sqrt (+ a b))) (/ (- b a) (/ (/ 1 2) (sqrt (+ a b))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 213 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ PI (/ (- b a) (/ (/ 1 2) (+ a b)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 214 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 215 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (/ PI 2) (/ (- b a) (/ 1 (+ a b)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 216 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 2 * * [misc]simplify: Extracting #3: cost 17 inf + 44 * * [misc]simplify: Extracting #4: cost 7 inf + 669 * * [misc]simplify: Extracting #5: cost 1 inf + 1723 * * [misc]simplify: Extracting #6: cost 0 inf + 1886 * * [misc]simplify: Extracting #7: cost 0 inf + 1755 * [exit]simplify: Simplified to (/ PI (* (+ (* (* a a) a) (* (* b b) b)) 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (/ PI (* (+ (* (* a a) a) (* (* b b) b)) 2)) (/ (- b a) (+ (* a a) (- (* b b) (* a b))))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 217 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 79 inf + 2 * * [misc]simplify: Extracting #3: cost 116 inf + 700 * * [misc]simplify: Extracting #4: cost 52 inf + 8294 * * [misc]simplify: Extracting #5: cost 1 inf + 17634 * * [misc]simplify: Extracting #6: cost 0 inf + 17563 * [exit]simplify: Simplified to (/ (/ PI 2) (- (* a a) (* b b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (/ (/ PI 2) (- (* a a) (* b b))) (/ (- b a) (- a b))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 218 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 696 * * [misc]simplify: Extracting #5: cost 0 inf + 616 * [exit]simplify: Simplified to (+ (* b b) (* (+ b a) a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (+ a b)) (- (pow b 3) (pow a 3))) (+ (* b b) (* (+ b a) a))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 219 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (/ PI 2) (+ a b)) (- (* b b) (* a a))) (+ a b)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 220 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (/ PI 2) (* (- b a) (+ a b))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 221 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 a)) (exp (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 200 * * [misc]simplify: Extracting #5: cost 0 inf + 1086 * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (log (exp (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 222 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 223 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 224 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 225 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 226 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 227 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 228 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 0 inf + 85 * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (- b a) (* a b)))) * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (- b a) (* a b)))) * * * * [misc]progress: [ 229 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 230 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 231 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 232 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 233 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 454 * [exit]simplify: Simplified to (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 576 * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) * * * * [misc]progress: [ 234 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (* 1 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 235 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (* 1 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 236 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (* 1 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 237 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (* 1 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 238 / 250 ] simplifiying candidate # * * * * [misc]progress: [ 239 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 240 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 241 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 242 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ 0 (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 243 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ 0 (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 244 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ 0 (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 245 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 0 (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 246 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 0 (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 247 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 0 (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 248 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 249 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 250 / 250 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ PI b)) 1) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI b)) (- (/ 1 b))) (* (- (* 1/2 (/ PI (pow b 2)))) 1)) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI b)) 0) (+ (* (- (* 1/2 (/ PI (pow b 2)))) (- (/ 1 b))) (* (* 1/2 (/ PI (pow b 3))) 1))) into (/ PI (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 2)))) (/ 0 b)) (* (* 1/2 (/ PI (pow b 3))) (/ 1 b)))) into (- (* 1/2 (/ PI (pow b 4)))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI b)) 0) (+ (* (- (* 1/2 (/ PI (pow b 2)))) 0) (+ (* (* 1/2 (/ PI (pow b 3))) (- (/ 1 b))) (* (- (* 1/2 (/ PI (pow b 4)))) 1)))) into (- (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (- b)) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (/ 1 b) 1)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 1) (* (- (* 1/2 (/ PI b))) (- b))) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (- (* 1/2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* (- (* 1/2 (/ PI b))) 1) (* (* 1/2 (/ PI (pow b 2))) (- b)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (- (* 1/2 (/ PI b))) (/ 0 1)) (* (* 1/2 (/ PI (pow b 2))) (/ (/ 1 b) 1)))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* (- (* 1/2 (/ PI b))) 0) (+ (* (* 1/2 (/ PI (pow b 2))) 1) (* (- (* 1/2 (/ PI (pow b 3)))) (- b))))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* (* -1/2 PI) b) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* (* -1/2 PI) -1) (* (* 1/2 (/ PI b)) b)) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (* 1/2 (/ PI b)) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 PI) 0) (+ (* (* 1/2 (/ PI b)) -1) (* (- (* 1/2 (/ PI (pow b 2)))) b))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (* 1/2 (/ PI b)) (/ 0 -1)) (* (- (* 1/2 (/ PI (pow b 2)))) (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 PI) 0) (+ (* (* 1/2 (/ PI b)) 0) (+ (* (- (* 1/2 (/ PI (pow b 2)))) -1) (* (* 1/2 (/ PI (pow b 3))) b)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ PI (pow b 3))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (/ 1 b) 1)))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (- (* 1/2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* -1/2 PI) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (* 1/2 (/ PI b)) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) (- b a)) in b * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ PI a)) -1) into (* -1/2 (/ PI a)) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* -1/2 (/ PI a)) (- a)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) (- b a)) in a * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ PI b)) 1) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) (- b a)) in a * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ PI b)) 1) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI b)) (- (/ 1 b))) (* (- (* 1/2 (/ PI (pow b 2)))) 1)) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ -1 b)))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI b)) 0) (+ (* (- (* 1/2 (/ PI (pow b 2)))) (- (/ 1 b))) (* (* 1/2 (/ PI (pow b 3))) 1))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ -1 b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (* (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* (* 1/2 PI) a) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (- b)) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* b PI)) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (- b)) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* b PI)) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (/ 1 b) 1)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 1) (* (- (* 1/2 (/ PI b))) (- b))) into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ PI -1) (+ (* (* 1/2 (* PI b)) (/ (/ 1 b) -1)))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (- (* 1/2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* (- (* 1/2 (/ PI b))) 1) (* (* 1/2 (/ PI (pow b 2))) (- b)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) -1) (+ (* (* 1/2 (* PI b)) (/ 0 -1)) (* (- (* 1/2 PI)) (/ (/ 1 b) -1)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (* (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (* (* -1/2 PI) (- a)) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) -1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* (* -1/2 PI) b) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* b PI)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* (* -1/2 PI) b) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* b PI)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* (* -1/2 PI) -1) (* (* 1/2 (/ PI b)) b)) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ PI 1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) 1)))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (* 1/2 (/ PI b)) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 PI) 0) (+ (* (* 1/2 (/ PI b)) -1) (* (- (* 1/2 (/ PI (pow b 2)))) b))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* (* 1/2 PI) (/ (- (/ 1 b)) 1)))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 35 inf + 0 * * [misc]simplify: Extracting #2: cost 119 inf + 45 * * [misc]simplify: Extracting #3: cost 140 inf + 1122 * * [misc]simplify: Extracting #4: cost 36 inf + 13407 * * [misc]simplify: Extracting #5: cost 0 inf + 18817 * [exit]simplify: Simplified to (- (/ (/ (/ PI 2) (+ a b)) a) (/ (/ (/ PI 2) (+ a b)) b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (pow (- (/ (/ (/ PI 2) (+ a b)) a) (/ (/ (/ PI 2) (+ a b)) b)) 1) (- b a))) * * * * [misc]progress: [ 2 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ PI 2)) (log (+ a b))) (log (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 58 inf + 0 * * [misc]simplify: Extracting #2: cost 98 inf + 0 * * [misc]simplify: Extracting #3: cost 97 inf + 338 * * [misc]simplify: Extracting #4: cost 92 inf + 898 * * [misc]simplify: Extracting #5: cost 81 inf + 2584 * * [misc]simplify: Extracting #6: cost 6 inf + 29261 * * [misc]simplify: Extracting #7: cost 0 inf + 31963 * [exit]simplify: Simplified to (+ (log (/ PI 2)) (- (log (- (/ 1 a) (/ 1 b))) (log (+ b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (+ (log (/ PI 2)) (- (log (- (/ 1 a) (/ 1 b))) (log (+ b a))))) (- b a))) * * * * [misc]progress: [ 4 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ PI 2) (+ a b))) (log (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 54 inf + 0 * * [misc]simplify: Extracting #2: cost 104 inf + 0 * * [misc]simplify: Extracting #3: cost 107 inf + 115 * * [misc]simplify: Extracting #4: cost 99 inf + 964 * * [misc]simplify: Extracting #5: cost 87 inf + 2272 * * [misc]simplify: Extracting #6: cost 33 inf + 19234 * * [misc]simplify: Extracting #7: cost 1 inf + 32046 * * [misc]simplify: Extracting #8: cost 0 inf + 32541 * [exit]simplify: Simplified to (+ (log (/ (/ PI 2) (+ a b))) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (+ (log (/ (/ PI 2) (+ a b))) (log (- (/ 1 a) (/ 1 b))))) (- b a))) * * * * [misc]progress: [ 5 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 86 inf + 0 * * [misc]simplify: Extracting #2: cost 310 inf + 1 * * [misc]simplify: Extracting #3: cost 332 inf + 5119 * * [misc]simplify: Extracting #4: cost 146 inf + 51737 * * [misc]simplify: Extracting #5: cost 7 inf + 97760 * * [misc]simplify: Extracting #6: cost 0 inf + 100878 * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (* (* (* (/ (/ PI (+ a b)) 2) (/ (/ PI (+ a b)) 2)) (/ (/ PI (+ a b)) 2)) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (* (- (/ 1 a) (/ 1 b)) (* (* (* (/ (/ PI (+ a b)) 2) (/ (/ PI (+ a b)) 2)) (/ (/ PI (+ a b)) 2)) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))))) (- b a))) * * * * [misc]progress: [ 8 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 194 inf + 0 * * [misc]simplify: Extracting #3: cost 210 inf + 3963 * * [misc]simplify: Extracting #4: cost 166 inf + 11012 * * [misc]simplify: Extracting #5: cost 128 inf + 21455 * * [misc]simplify: Extracting #6: cost 9 inf + 64098 * * [misc]simplify: Extracting #7: cost 0 inf + 67374 * [exit]simplify: Simplified to (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))))) (- b a))) * * * * [misc]progress: [ 9 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (- (* 1 b) (* a 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 2 * * [misc]simplify: Extracting #3: cost 10 inf + 996 * * [misc]simplify: Extracting #4: cost 0 inf + 1862 * [exit]simplify: Simplified to (* (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (* (/ PI 2) (- b a)) (* (+ a b) (* a b))) (- b a))) * [enter]simplify: Simplifying (* (+ a b) (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 618 * [exit]simplify: Simplified to (* (+ b a) (* a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (* (/ PI 2) (- b a)) (* (+ b a) (* a b))) (- b a))) * * * * [misc]progress: [ 13 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 90 inf + 3 * * [misc]simplify: Extracting #3: cost 118 inf + 215 * * [misc]simplify: Extracting #4: cost 41 inf + 7854 * * [misc]simplify: Extracting #5: cost 1 inf + 14368 * * [misc]simplify: Extracting #6: cost 0 inf + 14531 * [exit]simplify: Simplified to (/ (- (/ PI (* a (* a a))) (/ PI (* (* b b) b))) 2) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (/ (- (/ PI (* a (* a a))) (/ PI (* (* b b) b))) 2) (* (+ a b) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))))) (- b a))) * [enter]simplify: Simplifying (* (+ a b) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 55 inf + 0 * * [misc]simplify: Extracting #2: cost 383 inf + 0 * * [misc]simplify: Extracting #3: cost 404 inf + 5051 * * [misc]simplify: Extracting #4: cost 136 inf + 53364 * * [misc]simplify: Extracting #5: cost 6 inf + 82416 * * [misc]simplify: Extracting #6: cost 0 inf + 84434 * [exit]simplify: Simplified to (* (+ b a) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (* (/ PI 2) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) (* (+ b a) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (+ (/ 1 a) (/ 1 b)))))) (- b a))) * * * * [misc]progress: [ 14 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 39 inf + 0 * * [misc]simplify: Extracting #2: cost 93 inf + 3 * * [misc]simplify: Extracting #3: cost 98 inf + 998 * * [misc]simplify: Extracting #4: cost 70 inf + 4804 * * [misc]simplify: Extracting #5: cost 26 inf + 13308 * * [misc]simplify: Extracting #6: cost 0 inf + 17890 * * [misc]simplify: Extracting #7: cost 0 inf + 17850 * [exit]simplify: Simplified to (* (/ PI 2) (- (/ (/ 1 a) a) (/ 1 (* b b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (* (/ PI 2) (- (/ (/ 1 a) a) (/ 1 (* b b)))) (* (+ a b) (+ (/ 1 a) (/ 1 b)))) (- b a))) * [enter]simplify: Simplifying (* (+ a b) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 4 * * [misc]simplify: Extracting #4: cost 4 inf + 1892 * * [misc]simplify: Extracting #5: cost 0 inf + 2424 * [exit]simplify: Simplified to (+ (/ (+ b a) a) (/ (+ b a) b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (* (/ PI 2) (- (/ (/ 1 a) a) (/ 1 (* b b)))) (+ (/ (+ b a) a) (/ (+ b a) b))) (- b a))) * * * * [misc]progress: [ 15 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 2) (+ a b)) (- (/ 1 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 106 inf + 0 * * [misc]simplify: Extracting #2: cost 198 inf + 503 * * [misc]simplify: Extracting #3: cost 77 inf + 12841 * * [misc]simplify: Extracting #4: cost 2 inf + 23350 * * [misc]simplify: Extracting #5: cost 0 inf + 23596 * [exit]simplify: Simplified to (* (/ -1/2 b) (/ PI (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (+ (* (/ (/ PI 2) (+ a b)) (/ 1 a)) (* (/ -1/2 b) (/ PI (+ a b)))) (- b a))) * * * * [misc]progress: [ 17 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 2) (+ a b)) (- (/ 1 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 106 inf + 0 * * [misc]simplify: Extracting #2: cost 198 inf + 503 * * [misc]simplify: Extracting #3: cost 77 inf + 12841 * * [misc]simplify: Extracting #4: cost 2 inf + 23350 * * [misc]simplify: Extracting #5: cost 0 inf + 23596 * [exit]simplify: Simplified to (* (/ -1/2 b) (/ PI (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (+ (* (/ (/ PI 2) (+ a b)) (/ 1 a)) (* (/ -1/2 b) (/ PI (+ a b)))) (- b a))) * * * * [misc]progress: [ 18 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 b)) (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 93 inf + 0 * * [misc]simplify: Extracting #2: cost 212 inf + 46 * * [misc]simplify: Extracting #3: cost 115 inf + 9525 * * [misc]simplify: Extracting #4: cost 13 inf + 22643 * * [misc]simplify: Extracting #5: cost 0 inf + 24531 * [exit]simplify: Simplified to (/ PI (* b (/ (+ a b) -1/2))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (+ (* (/ 1 a) (/ (/ PI 2) (+ a b))) (/ PI (* b (/ (+ a b) -1/2)))) (- b a))) * * * * [misc]progress: [ 19 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 b)) (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 93 inf + 0 * * [misc]simplify: Extracting #2: cost 212 inf + 46 * * [misc]simplify: Extracting #3: cost 115 inf + 9525 * * [misc]simplify: Extracting #4: cost 13 inf + 22643 * * [misc]simplify: Extracting #5: cost 0 inf + 24531 * [exit]simplify: Simplified to (/ PI (* b (/ (+ a b) -1/2))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (+ (* (/ 1 a) (/ (/ PI 2) (+ a b))) (/ PI (* b (/ (+ a b) -1/2)))) (- b a))) * * * * [misc]progress: [ 20 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 4 * * [misc]simplify: Extracting #5: cost 0 inf + 456 * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (/ (/ PI 2) (+ a b)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (cbrt (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 21 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 4 * * [misc]simplify: Extracting #5: cost 0 inf + 416 * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (/ (/ PI 2) (+ a b)) (sqrt (- (/ 1 a) (/ 1 b)))) (sqrt (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 22 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (/ (/ PI 2) (+ a b)) 1) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 23 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 576 * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (/ (/ PI 2) (+ a b)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 24 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (/ (/ PI 2) (+ a b)) 1) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 25 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (/ (/ PI 2) (+ a b)) 1) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 26 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (/ (/ PI 2) (+ a b)) 1) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 27 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (/ (/ PI 2) (+ a b)) 1) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 28 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 5 inf + 213 * * [misc]simplify: Extracting #6: cost 1 inf + 666 * * [misc]simplify: Extracting #7: cost 0 inf + 910 * [exit]simplify: Simplified to (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (* (cbrt (/ (/ PI 2) (+ a b))) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 29 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 626 * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (sqrt (/ (/ PI 2) (+ a b))) (* (sqrt (/ (/ PI 2) (+ a b))) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 30 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 1710 * * [misc]simplify: Extracting #6: cost 0 inf + 2520 * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 31 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 1226 * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (* (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 32 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 3 * * [misc]simplify: Extracting #5: cost 1 inf + 329 * * [misc]simplify: Extracting #6: cost 0 inf + 492 * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (/ (cbrt (/ PI 2)) (+ a b)) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 33 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 4 inf + 330 * * [misc]simplify: Extracting #5: cost 0 inf + 982 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 34 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 456 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (* (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 35 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 127 * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (sqrt (/ PI 2)) (* (/ (sqrt (/ PI 2)) (+ a b)) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 36 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 695 * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (/ (/ PI 2) (cbrt (+ a b))) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 37 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 250 * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ 1 (sqrt (+ a b))) (* (/ (/ PI 2) (sqrt (+ a b))) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 38 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* 1 (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 39 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 695 * [exit]simplify: Simplified to (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (/ (/ 1 2) (cbrt (+ a b))) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 40 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 250 * [exit]simplify: Simplified to (/ PI (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ PI (sqrt (+ a b))) (* (/ (/ 1 2) (sqrt (+ a b))) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 41 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* PI (* (/ (/ 1 2) (+ a b)) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 42 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ PI 2) (* (/ 1 (+ a b)) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 44 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 2 * * [misc]simplify: Extracting #3: cost 17 inf + 44 * * [misc]simplify: Extracting #4: cost 7 inf + 669 * * [misc]simplify: Extracting #5: cost 1 inf + 1723 * * [misc]simplify: Extracting #6: cost 0 inf + 1886 * * [misc]simplify: Extracting #7: cost 0 inf + 1755 * [exit]simplify: Simplified to (/ PI (* (+ (* (* a a) a) (* (* b b) b)) 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ PI (* (+ (* (* a a) a) (* (* b b) b)) 2)) (* (+ (* a a) (- (* b b) (* a b))) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 45 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 79 inf + 2 * * [misc]simplify: Extracting #3: cost 116 inf + 700 * * [misc]simplify: Extracting #4: cost 52 inf + 8294 * * [misc]simplify: Extracting #5: cost 1 inf + 17634 * * [misc]simplify: Extracting #6: cost 0 inf + 17563 * [exit]simplify: Simplified to (/ (/ PI 2) (- (* a a) (* b b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ PI 2) (- (* a a) (* b b))) (* (- a b) (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 46 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (* (/ (/ PI 2) (+ a b)) (- (* 1 b) (* a 1))) (* a b)) (- b a))) * * * * [misc]progress: [ 47 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 210 * * [misc]simplify: Extracting #4: cost 3 inf + 1150 * * [misc]simplify: Extracting #5: cost 0 inf + 1679 * [exit]simplify: Simplified to (+ (/ (+ (/ 1 a) (/ 1 b)) a) (* (/ 1 b) (/ 1 b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (* (/ (/ PI 2) (+ a b)) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) (+ (/ (+ (/ 1 a) (/ 1 b)) a) (* (/ 1 b) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 48 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 3 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 210 * [exit]simplify: Simplified to (+ (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (* (/ (/ PI 2) (+ a b)) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (+ (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 49 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 76 inf + 3 * * [misc]simplify: Extracting #3: cost 60 inf + 1668 * * [misc]simplify: Extracting #4: cost 13 inf + 5392 * * [misc]simplify: Extracting #5: cost 0 inf + 7038 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * * * [misc]progress: [ 50 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI 2)) (log (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 2 * * [misc]simplify: Extracting #4: cost 12 inf + 300 * * [misc]simplify: Extracting #5: cost 5 inf + 1386 * * [misc]simplify: Extracting #6: cost 0 inf + 2671 * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (+ b a))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (exp (- (log (/ PI 2)) (log (+ b a)))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 53 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 98 inf + 0 * * [misc]simplify: Extracting #2: cost 243 inf + 618 * * [misc]simplify: Extracting #3: cost 224 inf + 13501 * * [misc]simplify: Extracting #4: cost 43 inf + 45733 * * [misc]simplify: Extracting #5: cost 0 inf + 54411 * * [misc]simplify: Extracting #6: cost 0 inf + 54291 * [exit]simplify: Simplified to (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (cbrt (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b)))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 56 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 1710 * * [misc]simplify: Extracting #6: cost 0 inf + 2520 * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (* (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 168 * * [misc]simplify: Extracting #5: cost 0 inf + 616 * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (cbrt (+ b a)))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 61 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 1226 * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (/ (cbrt (/ PI 2)) (sqrt (+ a b)))) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 536 * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (/ (cbrt (/ PI 2)) (sqrt (+ b a)))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 62 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 3 * * [misc]simplify: Extracting #5: cost 1 inf + 329 * * [misc]simplify: Extracting #6: cost 0 inf + 492 * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (cbrt (/ PI 2)) (+ a b))) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 44 * * [misc]simplify: Extracting #4: cost 3 inf + 46 * * [misc]simplify: Extracting #5: cost 0 inf + 414 * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (+ b a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (cbrt (/ PI 2)) (+ b a))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 63 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 4 inf + 330 * * [misc]simplify: Extracting #5: cost 0 inf + 982 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (* (/ (sqrt (/ PI 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 168 * * [misc]simplify: Extracting #5: cost 0 inf + 536 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2)) (cbrt (+ b a)))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 64 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 456 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (* (/ (sqrt (/ PI 2)) (sqrt (+ b a))) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 128 * * [misc]simplify: Extracting #5: cost 0 inf + 456 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ b a)))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 65 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 127 * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (* (sqrt (/ PI 2)) (/ (sqrt (/ PI 2)) (+ a b))) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 44 * * [misc]simplify: Extracting #4: cost 3 inf + 46 * * [misc]simplify: Extracting #5: cost 0 inf + 334 * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (+ b a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* (sqrt (/ PI 2)) (/ (sqrt (/ PI 2)) (+ b a))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 66 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 695 * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b)))) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (/ (/ PI 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 7 inf + 44 * * [misc]simplify: Extracting #4: cost 0 inf + 740 * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b)))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 67 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 250 * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (* (/ 1 (sqrt (+ a b))) (/ (/ PI 2) (sqrt (+ a b)))) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 7 inf + 44 * * [misc]simplify: Extracting #4: cost 0 inf + 580 * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* (/ 1 (sqrt (+ a b))) (/ (/ PI 2) (sqrt (+ a b)))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 68 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (* 1 (/ (/ PI 2) (+ a b))) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (/ (/ PI 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 462 * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* 1 (/ (/ PI 2) (+ a b))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 69 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 695 * [exit]simplify: Simplified to (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (* (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b)))) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 3 * * [misc]simplify: Extracting #3: cost 7 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 658 * [exit]simplify: Simplified to (/ 1/2 (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ 1/2 (cbrt (+ a b)))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 70 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 250 * [exit]simplify: Simplified to (/ PI (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (* (/ PI (sqrt (+ a b))) (/ (/ 1 2) (sqrt (+ a b)))) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 3 * * [misc]simplify: Extracting #3: cost 7 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 498 * [exit]simplify: Simplified to (/ 1/2 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* (/ PI (sqrt (+ a b))) (/ 1/2 (sqrt (+ a b)))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 71 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (* PI (/ (/ 1 2) (+ a b))) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 3 * * [misc]simplify: Extracting #3: cost 1 inf + 338 * * [misc]simplify: Extracting #4: cost 0 inf + 380 * [exit]simplify: Simplified to (/ 1/2 (+ a b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* PI (/ 1/2 (+ a b))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 72 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 166 * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (/ (/ (/ PI 2) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 76 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 126 * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (/ (/ (/ PI 2) (sqrt (+ a b))) (sqrt (+ b a))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 77 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (+ a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (/ (/ (/ PI 2) 1) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 78 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (+ a b) (cbrt (/ PI 2)))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 79 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 126 * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (/ (+ a b) (sqrt (/ PI 2)))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 80 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 84 * * [misc]simplify: Extracting #4: cost 6 inf + 1026 * * [misc]simplify: Extracting #5: cost 0 inf + 1717 * [exit]simplify: Simplified to (- (* b b) (* (- b a) a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (- (* b b) (* (- b a) a))) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 83 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 43 * * [misc]simplify: Extracting #3: cost 0 inf + 85 * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* (/ (/ PI 2) (- (* a a) (* b b))) (- a b)) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 84 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (log (/ PI 2)) (log (+ a b))) (log (- (/ 1 a) (/ 1 b)))) (log (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 83 inf + 0 * * [misc]simplify: Extracting #2: cost 216 inf + 0 * * [misc]simplify: Extracting #3: cost 224 inf + 298 * * [misc]simplify: Extracting #4: cost 212 inf + 2228 * * [misc]simplify: Extracting #5: cost 162 inf + 13609 * * [misc]simplify: Extracting #6: cost 70 inf + 46848 * * [misc]simplify: Extracting #7: cost 11 inf + 72171 * * [misc]simplify: Extracting #8: cost 0 inf + 77205 * [exit]simplify: Simplified to (+ (log (- (/ 1 a) (/ 1 b))) (- (- (log (/ PI 2)) (log (+ b a))) (log (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (- (/ 1 a) (/ 1 b))) (- (- (log (/ PI 2)) (log (+ b a))) (log (- b a)))))) * * * * [misc]progress: [ 87 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ (/ PI 2) (+ a b))) (log (- (/ 1 a) (/ 1 b)))) (log (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 121 inf + 0 * * [misc]simplify: Extracting #2: cost 284 inf + 0 * * [misc]simplify: Extracting #3: cost 302 inf + 298 * * [misc]simplify: Extracting #4: cost 268 inf + 6847 * * [misc]simplify: Extracting #5: cost 218 inf + 17571 * * [misc]simplify: Extracting #6: cost 168 inf + 31472 * * [misc]simplify: Extracting #7: cost 102 inf + 57587 * * [misc]simplify: Extracting #8: cost 1 inf + 106054 * * [misc]simplify: Extracting #9: cost 0 inf + 106587 * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (- (log (- b a)) (log (/ (/ PI 2) (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (/ 1 a) (/ 1 b))) (- (log (- b a)) (log (/ (/ PI 2) (+ a b))))))) * * * * [misc]progress: [ 88 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b)))) (log (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 36 inf + 0 * * [misc]simplify: Extracting #2: cost 72 inf + 0 * * [misc]simplify: Extracting #3: cost 117 inf + 1 * * [misc]simplify: Extracting #4: cost 150 inf + 780 * * [misc]simplify: Extracting #5: cost 61 inf + 14322 * * [misc]simplify: Extracting #6: cost 3 inf + 30143 * * [misc]simplify: Extracting #7: cost 0 inf + 31411 * * [misc]simplify: Extracting #8: cost 0 inf + 31410 * [exit]simplify: Simplified to (- (log (- (/ (/ (/ PI (+ a b)) 2) a) (/ (/ (/ PI (+ a b)) 2) b))) (log (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (/ (/ (/ PI (+ a b)) 2) a) (/ (/ (/ PI (+ a b)) 2) b))) (log (- b a))))) * * * * [misc]progress: [ 89 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 169 inf + 0 * * [misc]simplify: Extracting #2: cost 548 inf + 0 * * [misc]simplify: Extracting #3: cost 625 inf + 12691 * * [misc]simplify: Extracting #4: cost 488 inf + 41095 * * [misc]simplify: Extracting #5: cost 245 inf + 116463 * * [misc]simplify: Extracting #6: cost 9 inf + 213177 * * [misc]simplify: Extracting #7: cost 0 inf + 216139 * [exit]simplify: Simplified to (/ (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (* (/ (- b a) (- (/ 1 a) (/ 1 b))) (* (/ (- b a) (- (/ 1 a) (/ 1 b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (* (/ (- b a) (- (/ 1 a) (/ 1 b))) (* (/ (- b a) (- (/ 1 a) (/ 1 b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 92 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 112 inf + 0 * * [misc]simplify: Extracting #2: cost 316 inf + 0 * * [misc]simplify: Extracting #3: cost 428 inf + 3440 * * [misc]simplify: Extracting #4: cost 330 inf + 20105 * * [misc]simplify: Extracting #5: cost 162 inf + 77004 * * [misc]simplify: Extracting #6: cost 2 inf + 142700 * * [misc]simplify: Extracting #7: cost 0 inf + 142185 * * [misc]simplify: Extracting #8: cost 0 inf + 141945 * * [misc]simplify: Extracting #9: cost 0 inf + 141905 * [exit]simplify: Simplified to (* (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (/ (/ PI 2) (+ a b)) (- b a))) (/ (/ (/ PI 2) (+ a b)) (- b a))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (/ (/ PI 2) (+ a b)) (- b a))) (/ (/ (/ PI 2) (+ a b)) (- b a))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 93 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b)))) (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b)))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 106 inf + 0 * * [misc]simplify: Extracting #2: cost 311 inf + 1 * * [misc]simplify: Extracting #3: cost 403 inf + 3329 * * [misc]simplify: Extracting #4: cost 207 inf + 62400 * * [misc]simplify: Extracting #5: cost 16 inf + 135906 * * [misc]simplify: Extracting #6: cost 0 inf + 141666 * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ (/ PI 2) (+ a b)))) (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ (/ PI 2) (+ a b))))) (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ (/ PI 2) (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ (/ PI 2) (+ a b)))) (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ (/ PI 2) (+ a b))))) (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ (/ PI 2) (+ a b))))))) * * * * [misc]progress: [ 94 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 2 * * [misc]simplify: Extracting #3: cost 29 inf + 213 * * [misc]simplify: Extracting #4: cost 16 inf + 2167 * * [misc]simplify: Extracting #5: cost 0 inf + 5733 * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 4 * * [misc]simplify: Extracting #4: cost 6 inf + 864 * * [misc]simplify: Extracting #5: cost 0 inf + 2000 * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))))) * * * * [misc]progress: [ 99 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 2 * * [misc]simplify: Extracting #3: cost 19 inf + 88 * * [misc]simplify: Extracting #4: cost 7 inf + 1319 * * [misc]simplify: Extracting #5: cost 0 inf + 2419 * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (+ a b) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (sqrt (- b a))) (* (+ a b) 2)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 4 * * [misc]simplify: Extracting #4: cost 6 inf + 744 * * [misc]simplify: Extracting #5: cost 0 inf + 1640 * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI 2) (+ a b)) (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))))) * * * * [misc]progress: [ 100 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 3 * * [misc]simplify: Extracting #3: cost 4 inf + 131 * * [misc]simplify: Extracting #4: cost 1 inf + 339 * * [misc]simplify: Extracting #5: cost 0 inf + 463 * [exit]simplify: Simplified to (/ (/ PI (+ a b)) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ a b)) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 87 * * [misc]simplify: Extracting #4: cost 3 inf + 1361 * * [misc]simplify: Extracting #5: cost 0 inf + 1566 * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ a b)) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * * * [misc]progress: [ 101 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 207 * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a)))) * * * * [misc]progress: [ 105 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 167 * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (sqrt (- b a)))) * * * * [misc]progress: [ 106 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 43 * * [misc]simplify: Extracting #3: cost 0 inf + 85 * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) 1) (- b a))) * * * * [misc]progress: [ 107 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 462 * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI 2) (+ a b)) (/ (- b a) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 108 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 696 * * [misc]simplify: Extracting #5: cost 0 inf + 616 * [exit]simplify: Simplified to (+ (* b b) (* (+ b a) a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) (- (pow b 3) (pow a 3))) (+ (* b b) (* (+ b a) a)))) * * * * [misc]progress: [ 109 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) (- (* b b) (* a a))) (+ a b))) * * * * [misc]progress: [ 110 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (- (* 1 b) (* a 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 2 * * [misc]simplify: Extracting #3: cost 10 inf + 996 * * [misc]simplify: Extracting #4: cost 0 inf + 1862 * [exit]simplify: Simplified to (* (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ PI 2) (- b a)) (* (- b a) (* (+ a b) (* a b))))) * * * * [misc]progress: [ 111 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 90 inf + 3 * * [misc]simplify: Extracting #3: cost 118 inf + 215 * * [misc]simplify: Extracting #4: cost 41 inf + 7854 * * [misc]simplify: Extracting #5: cost 1 inf + 14368 * * [misc]simplify: Extracting #6: cost 0 inf + 14531 * [exit]simplify: Simplified to (/ (- (/ PI (* a (* a a))) (/ PI (* (* b b) b))) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI (* a (* a a))) (/ PI (* (* b b) b))) 2) (* (- b a) (* (+ a b) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))))))) * * * * [misc]progress: [ 112 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 39 inf + 0 * * [misc]simplify: Extracting #2: cost 93 inf + 3 * * [misc]simplify: Extracting #3: cost 98 inf + 998 * * [misc]simplify: Extracting #4: cost 70 inf + 4804 * * [misc]simplify: Extracting #5: cost 26 inf + 13308 * * [misc]simplify: Extracting #6: cost 0 inf + 17890 * * [misc]simplify: Extracting #7: cost 0 inf + 17850 * [exit]simplify: Simplified to (* (/ PI 2) (- (/ (/ 1 a) a) (/ 1 (* b b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ PI 2) (- (/ (/ 1 a) a) (/ 1 (* b b)))) (* (- b a) (* (+ a b) (+ (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 113 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 2) (+ a b)) (- (* 1 b) (* a 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 28 inf + 0 * * [misc]simplify: Extracting #2: cost 79 inf + 2 * * [misc]simplify: Extracting #3: cost 52 inf + 2315 * * [misc]simplify: Extracting #4: cost 10 inf + 7032 * * [misc]simplify: Extracting #5: cost 0 inf + 8702 * [exit]simplify: Simplified to (/ (- b a) (* (+ a b) (/ 2 PI))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- b a) (* (+ a b) (/ 2 PI))) (* (- b a) (* a b)))) * * * * [misc]progress: [ 114 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 2) (+ a b)) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 127 inf + 2 * * [misc]simplify: Extracting #3: cost 209 inf + 870 * * [misc]simplify: Extracting #4: cost 114 inf + 17073 * * [misc]simplify: Extracting #5: cost 12 inf + 36104 * * [misc]simplify: Extracting #6: cost 0 inf + 38798 * [exit]simplify: Simplified to (* (- (/ (/ 1 a) (* a a)) (/ 1 (* (* b b) b))) (/ (/ PI (+ a b)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (- (/ (/ 1 a) (* a a)) (/ 1 (* (* b b) b))) (/ (/ PI (+ a b)) 2)) (* (- b a) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 115 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 2) (+ a b)) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 68 inf + 0 * * [misc]simplify: Extracting #2: cost 194 inf + 3 * * [misc]simplify: Extracting #3: cost 195 inf + 2274 * * [misc]simplify: Extracting #4: cost 118 inf + 14902 * * [misc]simplify: Extracting #5: cost 12 inf + 40396 * * [misc]simplify: Extracting #6: cost 0 inf + 42770 * [exit]simplify: Simplified to (/ (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ 2 (/ PI (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ 2 (/ PI (+ a b)))) (* (- b a) (+ (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 116 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 76 inf + 3 * * [misc]simplify: Extracting #3: cost 60 inf + 1668 * * [misc]simplify: Extracting #4: cost 13 inf + 5392 * * [misc]simplify: Extracting #5: cost 0 inf + 7038 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 117 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 a)) (exp (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 200 * * [misc]simplify: Extracting #5: cost 0 inf + 1086 * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (log (exp (- (/ 1 a) (/ 1 b))))) (- b a))) * * * * [misc]progress: [ 118 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 0 inf + 85 * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (/ (- b a) (* a b))) (- b a))) * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (/ (- b a) (* a b))) (- b a))) * * * * [misc]progress: [ 125 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 126 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 127 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 128 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 129 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 454 * [exit]simplify: Simplified to (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (- b a))) * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 576 * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (- b a))) * * * * [misc]progress: [ 130 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (* 1 (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 131 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (* 1 (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 132 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (* 1 (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 133 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (* 1 (- (/ 1 a) (/ 1 b)))) (- b a))) * * * * [misc]progress: [ 134 / 146 ] simplifiying candidate # * * * * [misc]progress: [ 135 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 171 * * [misc]simplify: Extracting #3: cost 1 inf + 963 * * [misc]simplify: Extracting #4: cost 0 inf + 1046 * [exit]simplify: Simplified to (/ 1/2 (* (/ b PI) a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ 1/2 (* (/ b PI) a)) (- b a))) * * * * [misc]progress: [ 136 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 171 * * [misc]simplify: Extracting #3: cost 1 inf + 963 * * [misc]simplify: Extracting #4: cost 0 inf + 1046 * [exit]simplify: Simplified to (/ -1/2 (* (/ b PI) a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ -1/2 (* (/ b PI) a)) (- b a))) * * * * [misc]progress: [ 137 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 171 * * [misc]simplify: Extracting #3: cost 1 inf + 963 * * [misc]simplify: Extracting #4: cost 0 inf + 1046 * [exit]simplify: Simplified to (/ -1/2 (* (/ b PI) a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ -1/2 (* (/ b PI) a)) (- b a))) * * * * [misc]progress: [ 138 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* 0 (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 139 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* 0 (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 140 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* 0 (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 141 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 142 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 143 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 144 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 145 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 146 / 146 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 4 * * [misc]simplify: Extracting #4: cost 0 inf + 253 * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (/ PI 2) (+ a b)) (- (/ 1 a) (/ 1 b))) (- b a))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (/ PI b) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 b)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- b))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- b))) into (/ PI b) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI a) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* -1/2 PI) a) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ PI b)) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) 2) (+ (* (* 1/2 PI) (/ 0 2)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* (- (* 1/2 (/ PI b))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* (- (* 1/2 (/ PI b))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b)))) into (- (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* a PI) 0) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (/ (- (* PI b)) 2) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* b PI)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (/ (- (* PI b)) 2) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* b PI)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ PI 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* PI b)) (/ (/ 1 b) 1)))) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)) (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)) (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ PI (/ -1 a)) into (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 (* a PI)) 0) into (- (* a PI)) * [misc]backup-simplify: Simplify (/ (- (* a PI)) 2) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* a PI)) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 PI) 0) into (- PI) * [misc]backup-simplify: Simplify (- (/ (- PI) 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) -1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) -1)))) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)) (* (- (* 1/2 PI)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ 0 -1)) (* PI (/ (- (/ 1 b)) -1)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)) (* (- (* 1/2 PI)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ 0 -1)) (* PI (/ 0 -1)) (* (- (/ PI b)) (/ (- (/ 1 b)) -1)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ PI a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- a))) into (/ PI a) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI a) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* -1/2 PI) a) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* -1/2 (/ PI a)) (- a)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ PI b)) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) 2) (+ (* (* 1/2 PI) (/ 0 2)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ -1 b)))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* (- (* 1/2 (/ PI b))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ -1 b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* a PI) 0) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (/ (- (* PI b)) 2) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* b PI)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) -1) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (/ (- (* PI b)) 2) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* b PI)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) -1) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ PI 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* PI b)) (/ (/ 1 b) 1)))) into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ PI -1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 b) -1)))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)) (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) -1) (+ (* (* 1/2 (* b PI)) (/ 0 -1)) (* (- (* 1/2 PI)) (/ (/ 1 b) -1)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ PI (/ -1 a)) into (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 (* a PI)) 0) into (- (* a PI)) * [misc]backup-simplify: Simplify (/ (- (* a PI)) 2) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* a PI)) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) -1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) 1) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) 1) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 PI) 0) into (- PI) * [misc]backup-simplify: Simplify (- (/ (- PI) 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) -1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) -1)))) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ PI 1) (+ (* (* -1/2 (* b PI)) (/ (- (/ 1 b)) 1)))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)) (* (- (* 1/2 PI)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ 0 -1)) (* PI (/ (- (/ 1 b)) -1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) 1) (+ (* (* -1/2 (* b PI)) (/ 0 1)) (* (* 1/2 PI) (/ (- (/ 1 b)) 1)))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 72 * * [misc]simplify: Extracting #4: cost 27 inf + 227 * * [misc]simplify: Extracting #5: cost 19 inf + 1035 * * [misc]simplify: Extracting #6: cost 7 inf + 2634 * * [misc]simplify: Extracting #7: cost 3 inf + 3458 * * [misc]simplify: Extracting #8: cost 0 inf + 4528 * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ a b)))) (- b a))) * * * * [misc]progress: [ 13 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (/ PI a) (/ PI b)) 2) (/ (- (/ PI a) (/ PI b)) 2)) (/ (- (/ PI a) (/ PI b)) 2)) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 56 inf + 0 * * [misc]simplify: Extracting #2: cost 151 inf + 2 * * [misc]simplify: Extracting #3: cost 213 inf + 88 * * [misc]simplify: Extracting #4: cost 143 inf + 12674 * * [misc]simplify: Extracting #5: cost 14 inf + 46719 * * [misc]simplify: Extracting #6: cost 0 inf + 51011 * [exit]simplify: Simplified to (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)))) (- b a))) * * * * [misc]progress: [ 16 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI a) 2) (+ a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 3 * * [misc]simplify: Extracting #3: cost 9 inf + 461 * * [misc]simplify: Extracting #4: cost 1 inf + 1323 * * [misc]simplify: Extracting #5: cost 0 inf + 1327 * [exit]simplify: Simplified to (/ (/ (/ PI a) 2) (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (- (/ (/ (/ PI a) 2) (+ a b)) (/ (/ (/ PI b) 2) (+ a b))) (- b a))) * * * * [misc]progress: [ 21 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 3 * * [misc]simplify: Extracting #5: cost 17 inf + 498 * * [misc]simplify: Extracting #6: cost 9 inf + 1157 * * [misc]simplify: Extracting #7: cost 3 inf + 3181 * * [misc]simplify: Extracting #8: cost 0 inf + 4433 * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 167 * * [misc]simplify: Extracting #5: cost 13 inf + 252 * * [misc]simplify: Extracting #6: cost 2 inf + 1159 * * [misc]simplify: Extracting #7: cost 0 inf + 1807 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 22 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 3 * * [misc]simplify: Extracting #5: cost 11 inf + 543 * * [misc]simplify: Extracting #6: cost 2 inf + 2171 * * [misc]simplify: Extracting #7: cost 0 inf + 2859 * * [misc]simplify: Extracting #8: cost 0 inf + 2779 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ a b)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ a b)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 127 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 2 inf + 1119 * * [misc]simplify: Extracting #7: cost 0 inf + 1727 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 23 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 2 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 4 inf + 914 * * [misc]simplify: Extracting #7: cost 0 inf + 1809 * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 2 * * [misc]simplify: Extracting #4: cost 16 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 130 * * [misc]simplify: Extracting #6: cost 2 inf + 1037 * * [misc]simplify: Extracting #7: cost 0 inf + 1605 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b))) (- b a))) * * * * [misc]progress: [ 24 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 45 * * [misc]simplify: Extracting #5: cost 14 inf + 414 * * [misc]simplify: Extracting #6: cost 3 inf + 1321 * * [misc]simplify: Extracting #7: cost 0 inf + 2293 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 167 * * [misc]simplify: Extracting #5: cost 13 inf + 252 * * [misc]simplify: Extracting #6: cost 2 inf + 1159 * * [misc]simplify: Extracting #7: cost 0 inf + 1727 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 25 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 127 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 2 inf + 1119 * * [misc]simplify: Extracting #7: cost 0 inf + 1647 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 127 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 2 inf + 1119 * * [misc]simplify: Extracting #7: cost 0 inf + 1647 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 26 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 2 * * [misc]simplify: Extracting #4: cost 12 inf + 89 * * [misc]simplify: Extracting #5: cost 2 inf + 832 * * [misc]simplify: Extracting #6: cost 1 inf + 996 * * [misc]simplify: Extracting #7: cost 0 inf + 1200 * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 2 * * [misc]simplify: Extracting #4: cost 16 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 130 * * [misc]simplify: Extracting #6: cost 2 inf + 1037 * * [misc]simplify: Extracting #7: cost 0 inf + 1525 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b))) (- b a))) * * * * [misc]progress: [ 27 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 695 * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 35 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 376 * * [misc]simplify: Extracting #4: cost 15 inf + 1644 * * [misc]simplify: Extracting #5: cost 1 inf + 4570 * * [misc]simplify: Extracting #6: cost 0 inf + 4894 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) 2)) (- b a))) * * * * [misc]progress: [ 28 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 250 * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ 1 (sqrt (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 35 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 376 * * [misc]simplify: Extracting #4: cost 15 inf + 1484 * * [misc]simplify: Extracting #5: cost 1 inf + 3890 * * [misc]simplify: Extracting #6: cost 0 inf + 4174 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (sqrt (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) 2)) (- b a))) * * * * [misc]progress: [ 29 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* 1 (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 1 * * [misc]simplify: Extracting #3: cost 31 inf + 459 * * [misc]simplify: Extracting #4: cost 5 inf + 3490 * * [misc]simplify: Extracting #5: cost 0 inf + 3825 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* 1 (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)) (- b a))) * * * * [misc]progress: [ 30 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 86 * * [misc]simplify: Extracting #4: cost 8 inf + 2561 * * [misc]simplify: Extracting #5: cost 0 inf + 4223 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 3 * * [misc]simplify: Extracting #3: cost 7 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 658 * [exit]simplify: Simplified to (/ 1/2 (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ 1/2 (cbrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 31 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 3 * * [misc]simplify: Extracting #4: cost 6 inf + 743 * * [misc]simplify: Extracting #5: cost 0 inf + 1759 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (/ 1 2) (sqrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 3 * * [misc]simplify: Extracting #3: cost 7 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 498 * [exit]simplify: Simplified to (/ 1/2 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ 1/2 (sqrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 32 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 4 * * [misc]simplify: Extracting #4: cost 1 inf + 211 * * [misc]simplify: Extracting #5: cost 0 inf + 334 * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (- (/ PI a) (/ PI b)) (/ (/ 1 2) (+ a b))) (- b a))) * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 3 * * [misc]simplify: Extracting #3: cost 1 inf + 338 * * [misc]simplify: Extracting #4: cost 0 inf + 380 * [exit]simplify: Simplified to (/ 1/2 (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (- (/ PI a) (/ PI b)) (/ 1/2 (+ a b))) (- b a))) * * * * [misc]progress: [ 33 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 166 * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a))) (- b a))) * * * * [misc]progress: [ 37 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 126 * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) (sqrt (+ b a))) (- b a))) * * * * [misc]progress: [ 38 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (/ (- (/ PI a) (/ PI b)) 2) 1) (+ b a)) (- b a))) * * * * [misc]progress: [ 39 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 294 * * [misc]simplify: Extracting #6: cost 2 inf + 995 * * [misc]simplify: Extracting #7: cost 0 inf + 1523 * [exit]simplify: Simplified to (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (- b a))) * * * * [misc]progress: [ 40 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ PI a) (/ PI b)) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 1 inf + 995 * * [misc]simplify: Extracting #6: cost 0 inf + 1199 * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (sqrt (/ (- (/ PI a) (/ PI b)) 2)))) (- b a))) * * * * [misc]progress: [ 41 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI a) (/ PI b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 333 * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (/ (+ a b) (/ 1 2))) (- b a))) * * * * [misc]progress: [ 43 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 84 * * [misc]simplify: Extracting #4: cost 6 inf + 1026 * * [misc]simplify: Extracting #5: cost 0 inf + 1717 * [exit]simplify: Simplified to (- (* b b) (* (- b a) a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) (- (* b b) (* (- b a) a))) (- b a))) * * * * [misc]progress: [ 44 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 43 * * [misc]simplify: Extracting #3: cost 0 inf + 85 * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (- a b)) (- b a))) * * * * [misc]progress: [ 45 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI a) (/ PI b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 333 * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (* (+ a b) 2)) (- b a))) * * * * [misc]progress: [ 46 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ a b))) (log (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 62 inf + 0 * * [misc]simplify: Extracting #2: cost 129 inf + 0 * * [misc]simplify: Extracting #3: cost 137 inf + 1 * * [misc]simplify: Extracting #4: cost 138 inf + 157 * * [misc]simplify: Extracting #5: cost 111 inf + 3671 * * [misc]simplify: Extracting #6: cost 21 inf + 28721 * * [misc]simplify: Extracting #7: cost 1 inf + 36178 * * [misc]simplify: Extracting #8: cost 0 inf + 36711 * [exit]simplify: Simplified to (- (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ a b))) (log (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ a b))) (log (- b a))))) * * * * [misc]progress: [ 58 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (log (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (416 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 47 inf + 0 * * [misc]simplify: Extracting #2: cost 79 inf + 0 * * [misc]simplify: Extracting #3: cost 94 inf + 72 * * [misc]simplify: Extracting #4: cost 99 inf + 461 * * [misc]simplify: Extracting #5: cost 77 inf + 4509 * * [misc]simplify: Extracting #6: cost 7 inf + 24514 * * [misc]simplify: Extracting #7: cost 0 inf + 26906 * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (log (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (log (- b a))))) * * * * [misc]progress: [ 59 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ (- (/ PI a) (/ PI b)) 2) (/ (- (/ PI a) (/ PI b)) 2)) (/ (- (/ PI a) (/ PI b)) 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 89 inf + 0 * * [misc]simplify: Extracting #2: cost 301 inf + 0 * * [misc]simplify: Extracting #3: cost 397 inf + 985 * * [misc]simplify: Extracting #4: cost 194 inf + 54430 * * [misc]simplify: Extracting #5: cost 8 inf + 109236 * * [misc]simplify: Extracting #6: cost 0 inf + 111548 * * [misc]simplify: Extracting #7: cost 0 inf + 111508 * [exit]simplify: Simplified to (* (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ a b))) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ a b))) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ a b))))))) * * * * [misc]progress: [ 62 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 62 inf + 0 * * [misc]simplify: Extracting #2: cost 198 inf + 2 * * [misc]simplify: Extracting #3: cost 244 inf + 1230 * * [misc]simplify: Extracting #4: cost 133 inf + 27949 * * [misc]simplify: Extracting #5: cost 6 inf + 73982 * * [misc]simplify: Extracting #6: cost 0 inf + 76166 * * [misc]simplify: Extracting #7: cost 0 inf + 76126 * [exit]simplify: Simplified to (* (* (/ (- (/ PI a) (/ PI b)) (* (* 2 (+ a b)) (- b a))) (/ (- (/ PI a) (/ PI b)) (* (* 2 (+ a b)) (- b a)))) (/ (- (/ PI a) (/ PI b)) (* (* 2 (+ a b)) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (- (/ PI a) (/ PI b)) (* (* 2 (+ a b)) (- b a))) (/ (- (/ PI a) (/ PI b)) (* (* 2 (+ a b)) (- b a)))) (/ (- (/ PI a) (/ PI b)) (* (* 2 (+ a b)) (- b a)))))) * * * * [misc]progress: [ 63 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ PI a) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 31 inf + 0 * * [misc]simplify: Extracting #2: cost 134 inf + 3 * * [misc]simplify: Extracting #3: cost 175 inf + 1970 * * [misc]simplify: Extracting #4: cost 64 inf + 18961 * * [misc]simplify: Extracting #5: cost 3 inf + 29391 * * [misc]simplify: Extracting #6: cost 0 inf + 29839 * [exit]simplify: Simplified to (/ (/ (/ (/ PI a) 2) (+ a b)) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (/ (/ (/ (/ PI a) 2) (+ a b)) (- b a)) (/ (/ (/ (/ PI b) 2) (+ a b)) (- b a)))) * * * * [misc]progress: [ 68 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 3 * * [misc]simplify: Extracting #5: cost 40 inf + 827 * * [misc]simplify: Extracting #6: cost 11 inf + 3701 * * [misc]simplify: Extracting #7: cost 2 inf + 6976 * * [misc]simplify: Extracting #8: cost 0 inf + 7944 * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (- b a)))) (/ (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 45 * * [misc]simplify: Extracting #5: cost 31 inf + 829 * * [misc]simplify: Extracting #6: cost 3 inf + 3907 * * [misc]simplify: Extracting #7: cost 0 inf + 4838 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (- b a))))) * * * * [misc]progress: [ 69 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 40 inf + 3 * * [misc]simplify: Extracting #5: cost 34 inf + 791 * * [misc]simplify: Extracting #6: cost 5 inf + 3990 * * [misc]simplify: Extracting #7: cost 0 inf + 6050 * [exit]simplify: Simplified to (/ (cbrt (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)) (/ (sqrt (- b a)) (cbrt (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)) (/ (sqrt (- b a)) (cbrt (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)))) (/ (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 45 * * [misc]simplify: Extracting #5: cost 31 inf + 789 * * [misc]simplify: Extracting #6: cost 3 inf + 3867 * * [misc]simplify: Extracting #7: cost 0 inf + 4758 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))) (sqrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (sqrt (- b a))))) * * * * [misc]progress: [ 70 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 37 inf + 2 * * [misc]simplify: Extracting #5: cost 37 inf + 172 * * [misc]simplify: Extracting #6: cost 15 inf + 2225 * * [misc]simplify: Extracting #7: cost 0 inf + 4999 * * [misc]simplify: Extracting #8: cost 0 inf + 4879 * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b))))) (/ (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 85 * * [misc]simplify: Extracting #4: cost 32 inf + 211 * * [misc]simplify: Extracting #5: cost 24 inf + 1406 * * [misc]simplify: Extracting #6: cost 2 inf + 4068 * * [misc]simplify: Extracting #7: cost 0 inf + 4636 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b))))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (- b a)))) * * * * [misc]progress: [ 71 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 37 inf + 86 * * [misc]simplify: Extracting #5: cost 31 inf + 1075 * * [misc]simplify: Extracting #6: cost 4 inf + 3988 * * [misc]simplify: Extracting #7: cost 0 inf + 5404 * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI (* 2 (+ a b))) a) (/ (/ PI (* 2 (+ a b))) b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ (/ PI (* 2 (+ a b))) a) (/ (/ PI (* 2 (+ a b))) b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 45 * * [misc]simplify: Extracting #5: cost 31 inf + 829 * * [misc]simplify: Extracting #6: cost 3 inf + 3907 * * [misc]simplify: Extracting #7: cost 0 inf + 4758 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (- b a))))) * * * * [misc]progress: [ 72 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 45 * * [misc]simplify: Extracting #5: cost 31 inf + 789 * * [misc]simplify: Extracting #6: cost 3 inf + 3867 * * [misc]simplify: Extracting #7: cost 0 inf + 4678 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (sqrt (- b a))) (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 45 * * [misc]simplify: Extracting #5: cost 31 inf + 789 * * [misc]simplify: Extracting #6: cost 3 inf + 3867 * * [misc]simplify: Extracting #7: cost 0 inf + 4678 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (sqrt (- b a))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (sqrt (- b a))))) * * * * [misc]progress: [ 73 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 35 inf + 2 * * [misc]simplify: Extracting #4: cost 34 inf + 377 * * [misc]simplify: Extracting #5: cost 8 inf + 3124 * * [misc]simplify: Extracting #6: cost 0 inf + 4230 * * [misc]simplify: Extracting #7: cost 0 inf + 4110 * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)) (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 85 * * [misc]simplify: Extracting #4: cost 32 inf + 211 * * [misc]simplify: Extracting #5: cost 24 inf + 1406 * * [misc]simplify: Extracting #6: cost 2 inf + 4068 * * [misc]simplify: Extracting #7: cost 0 inf + 4556 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (- b a)))) * * * * [misc]progress: [ 74 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 34 inf + 0 * * [misc]simplify: Extracting #2: cost 37 inf + 0 * * [misc]simplify: Extracting #3: cost 45 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 3 * * [misc]simplify: Extracting #5: cost 40 inf + 1103 * * [misc]simplify: Extracting #6: cost 22 inf + 4834 * * [misc]simplify: Extracting #7: cost 0 inf + 15880 * * [misc]simplify: Extracting #8: cost 0 inf + 15800 * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (cbrt (+ a b))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (cbrt (+ a b))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (cbrt (+ a b)))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 86 * * [misc]simplify: Extracting #5: cost 12 inf + 705 * * [misc]simplify: Extracting #6: cost 5 inf + 1482 * * [misc]simplify: Extracting #7: cost 3 inf + 1890 * * [misc]simplify: Extracting #8: cost 0 inf + 3262 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (cbrt (+ a b))))) * * * * [misc]progress: [ 75 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 33 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 44 * * [misc]simplify: Extracting #5: cost 28 inf + 863 * * [misc]simplify: Extracting #6: cost 10 inf + 5118 * * [misc]simplify: Extracting #7: cost 0 inf + 9958 * * [misc]simplify: Extracting #8: cost 0 inf + 9558 * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (sqrt (- b a))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 86 * * [misc]simplify: Extracting #5: cost 12 inf + 665 * * [misc]simplify: Extracting #6: cost 5 inf + 1402 * * [misc]simplify: Extracting #7: cost 3 inf + 1810 * * [misc]simplify: Extracting #8: cost 0 inf + 3102 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (cbrt (+ a b))))) * * * * [misc]progress: [ 76 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 4 * * [misc]simplify: Extracting #5: cost 24 inf + 419 * * [misc]simplify: Extracting #6: cost 14 inf + 1646 * * [misc]simplify: Extracting #7: cost 4 inf + 6008 * * [misc]simplify: Extracting #8: cost 0 inf + 8025 * * [misc]simplify: Extracting #9: cost 0 inf + 7385 * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 44 * * [misc]simplify: Extracting #4: cost 21 inf + 574 * * [misc]simplify: Extracting #5: cost 10 inf + 1555 * * [misc]simplify: Extracting #6: cost 2 inf + 3100 * * [misc]simplify: Extracting #7: cost 0 inf + 3748 * * [misc]simplify: Extracting #8: cost 0 inf + 3588 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (cbrt (+ a b)))))) * * * * [misc]progress: [ 77 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 33 inf + 0 * * [misc]simplify: Extracting #4: cost 37 inf + 86 * * [misc]simplify: Extracting #5: cost 24 inf + 1151 * * [misc]simplify: Extracting #6: cost 12 inf + 4390 * * [misc]simplify: Extracting #7: cost 0 inf + 10118 * * [misc]simplify: Extracting #8: cost 0 inf + 9638 * * [misc]simplify: Extracting #9: cost 0 inf + 9558 * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a)))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a)))) (sqrt (+ a b))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 86 * * [misc]simplify: Extracting #5: cost 12 inf + 665 * * [misc]simplify: Extracting #6: cost 5 inf + 1402 * * [misc]simplify: Extracting #7: cost 3 inf + 1810 * * [misc]simplify: Extracting #8: cost 0 inf + 3102 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (sqrt (+ a b))))) * * * * [misc]progress: [ 78 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 30 inf + 45 * * [misc]simplify: Extracting #5: cost 18 inf + 828 * * [misc]simplify: Extracting #6: cost 12 inf + 1322 * * [misc]simplify: Extracting #7: cost 6 inf + 3226 * * [misc]simplify: Extracting #8: cost 0 inf + 5770 * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a)))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 86 * * [misc]simplify: Extracting #5: cost 12 inf + 625 * * [misc]simplify: Extracting #6: cost 5 inf + 1322 * * [misc]simplify: Extracting #7: cost 3 inf + 1730 * * [misc]simplify: Extracting #8: cost 0 inf + 2942 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (sqrt (- b a))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (sqrt (+ a b))))) * * * * [misc]progress: [ 79 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 4 * * [misc]simplify: Extracting #5: cost 14 inf + 379 * * [misc]simplify: Extracting #6: cost 7 inf + 956 * * [misc]simplify: Extracting #7: cost 6 inf + 1120 * * [misc]simplify: Extracting #8: cost 1 inf + 2661 * * [misc]simplify: Extracting #9: cost 0 inf + 3065 * [exit]simplify: Simplified to (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (sqrt (+ a b)))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 44 * * [misc]simplify: Extracting #4: cost 21 inf + 454 * * [misc]simplify: Extracting #5: cost 10 inf + 1315 * * [misc]simplify: Extracting #6: cost 2 inf + 2820 * * [misc]simplify: Extracting #7: cost 0 inf + 3428 * * [misc]simplify: Extracting #8: cost 0 inf + 3268 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) 1) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (sqrt (+ a b)))))) * * * * [misc]progress: [ 80 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 131 inf + 0 * * [misc]simplify: Extracting #2: cost 271 inf + 1 * * [misc]simplify: Extracting #3: cost 307 inf + 1 * * [misc]simplify: Extracting #4: cost 312 inf + 46 * * [misc]simplify: Extracting #5: cost 255 inf + 15176 * * [misc]simplify: Extracting #6: cost 41 inf + 96001 * * [misc]simplify: Extracting #7: cost 0 inf + 114261 * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a)))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 86 * * [misc]simplify: Extracting #4: cost 20 inf + 412 * * [misc]simplify: Extracting #5: cost 12 inf + 986 * * [misc]simplify: Extracting #6: cost 2 inf + 2736 * * [misc]simplify: Extracting #7: cost 0 inf + 3384 * * [misc]simplify: Extracting #8: cost 0 inf + 3224 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 81 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 45 * * [misc]simplify: Extracting #5: cost 16 inf + 297 * * [misc]simplify: Extracting #6: cost 2 inf + 2618 * * [misc]simplify: Extracting #7: cost 0 inf + 3186 * * [misc]simplify: Extracting #8: cost 0 inf + 3106 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (- b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (- b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 86 * * [misc]simplify: Extracting #4: cost 20 inf + 332 * * [misc]simplify: Extracting #5: cost 12 inf + 826 * * [misc]simplify: Extracting #6: cost 2 inf + 2536 * * [misc]simplify: Extracting #7: cost 0 inf + 3144 * * [misc]simplify: Extracting #8: cost 0 inf + 2984 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (- b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 82 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 2 * * [misc]simplify: Extracting #5: cost 9 inf + 460 * * [misc]simplify: Extracting #6: cost 2 inf + 1240 * * [misc]simplify: Extracting #7: cost 0 inf + 1809 * [exit]simplify: Simplified to (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 49 inf + 208 * * [misc]simplify: Extracting #4: cost 23 inf + 3952 * * [misc]simplify: Extracting #5: cost 13 inf + 4609 * * [misc]simplify: Extracting #6: cost 3 inf + 5677 * * [misc]simplify: Extracting #7: cost 0 inf + 6729 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) 1) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ a b))))) * * * * [misc]progress: [ 83 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 128 * * [misc]simplify: Extracting #5: cost 18 inf + 1874 * * [misc]simplify: Extracting #6: cost 3 inf + 5840 * * [misc]simplify: Extracting #7: cost 0 inf + 7012 * * [misc]simplify: Extracting #8: cost 0 inf + 6892 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (- b a)) (cbrt (+ a b))) (* (cbrt (- b a)) (cbrt (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (- b a)) (cbrt (+ a b))) (* (cbrt (- b a)) (cbrt (+ a b))))) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 86 * * [misc]simplify: Extracting #5: cost 12 inf + 705 * * [misc]simplify: Extracting #6: cost 5 inf + 1482 * * [misc]simplify: Extracting #7: cost 3 inf + 1850 * * [misc]simplify: Extracting #8: cost 0 inf + 3102 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (cbrt (+ a b))))) * * * * [misc]progress: [ 84 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 87 * * [misc]simplify: Extracting #5: cost 13 inf + 1311 * * [misc]simplify: Extracting #6: cost 7 inf + 1846 * * [misc]simplify: Extracting #7: cost 2 inf + 3426 * * [misc]simplify: Extracting #8: cost 0 inf + 4314 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 86 * * [misc]simplify: Extracting #5: cost 12 inf + 665 * * [misc]simplify: Extracting #6: cost 5 inf + 1402 * * [misc]simplify: Extracting #7: cost 3 inf + 1770 * * [misc]simplify: Extracting #8: cost 0 inf + 2942 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (cbrt (+ a b))))) * * * * [misc]progress: [ 85 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 46 * * [misc]simplify: Extracting #5: cost 13 inf + 377 * * [misc]simplify: Extracting #6: cost 4 inf + 1158 * * [misc]simplify: Extracting #7: cost 3 inf + 1322 * * [misc]simplify: Extracting #8: cost 1 inf + 1890 * * [misc]simplify: Extracting #9: cost 0 inf + 2294 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 44 * * [misc]simplify: Extracting #4: cost 21 inf + 574 * * [misc]simplify: Extracting #5: cost 10 inf + 1555 * * [misc]simplify: Extracting #6: cost 2 inf + 3020 * * [misc]simplify: Extracting #7: cost 0 inf + 3588 * * [misc]simplify: Extracting #8: cost 0 inf + 3428 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (cbrt (+ a b)))))) * * * * [misc]progress: [ 86 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 45 * * [misc]simplify: Extracting #5: cost 14 inf + 830 * * [misc]simplify: Extracting #6: cost 4 inf + 2858 * * [misc]simplify: Extracting #7: cost 0 inf + 4634 * * [misc]simplify: Extracting #8: cost 0 inf + 4314 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (* (sqrt (+ a b)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (* (sqrt (+ a b)) (cbrt (- b a))))) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 86 * * [misc]simplify: Extracting #5: cost 12 inf + 665 * * [misc]simplify: Extracting #6: cost 5 inf + 1402 * * [misc]simplify: Extracting #7: cost 3 inf + 1770 * * [misc]simplify: Extracting #8: cost 0 inf + 2942 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (sqrt (+ a b))))) * * * * [misc]progress: [ 87 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 86 * * [misc]simplify: Extracting #5: cost 12 inf + 625 * * [misc]simplify: Extracting #6: cost 5 inf + 1322 * * [misc]simplify: Extracting #7: cost 3 inf + 1690 * * [misc]simplify: Extracting #8: cost 0 inf + 2782 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (sqrt (+ a b))) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 86 * * [misc]simplify: Extracting #5: cost 12 inf + 625 * * [misc]simplify: Extracting #6: cost 5 inf + 1322 * * [misc]simplify: Extracting #7: cost 3 inf + 1690 * * [misc]simplify: Extracting #8: cost 0 inf + 2782 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (sqrt (- b a))) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (sqrt (+ a b))))) * * * * [misc]progress: [ 88 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 46 * * [misc]simplify: Extracting #5: cost 1 inf + 1565 * * [misc]simplify: Extracting #6: cost 0 inf + 1648 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 44 * * [misc]simplify: Extracting #4: cost 21 inf + 454 * * [misc]simplify: Extracting #5: cost 10 inf + 1315 * * [misc]simplify: Extracting #6: cost 2 inf + 2740 * * [misc]simplify: Extracting #7: cost 0 inf + 3268 * * [misc]simplify: Extracting #8: cost 0 inf + 3108 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (sqrt (+ a b)))))) * * * * [misc]progress: [ 89 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 209 * * [misc]simplify: Extracting #5: cost 10 inf + 663 * * [misc]simplify: Extracting #6: cost 4 inf + 1199 * * [misc]simplify: Extracting #7: cost 3 inf + 1363 * * [misc]simplify: Extracting #8: cost 0 inf + 2335 * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 86 * * [misc]simplify: Extracting #4: cost 20 inf + 412 * * [misc]simplify: Extracting #5: cost 12 inf + 986 * * [misc]simplify: Extracting #6: cost 2 inf + 2656 * * [misc]simplify: Extracting #7: cost 0 inf + 3224 * * [misc]simplify: Extracting #8: cost 0 inf + 3064 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 90 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 46 * * [misc]simplify: Extracting #5: cost 13 inf + 254 * * [misc]simplify: Extracting #6: cost 2 inf + 1161 * * [misc]simplify: Extracting #7: cost 0 inf + 1689 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 86 * * [misc]simplify: Extracting #4: cost 20 inf + 332 * * [misc]simplify: Extracting #5: cost 12 inf + 826 * * [misc]simplify: Extracting #6: cost 2 inf + 2456 * * [misc]simplify: Extracting #7: cost 0 inf + 2984 * * [misc]simplify: Extracting #8: cost 0 inf + 2824 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 91 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 2 * * [misc]simplify: Extracting #4: cost 14 inf + 5 * * [misc]simplify: Extracting #5: cost 3 inf + 871 * * [misc]simplify: Extracting #6: cost 0 inf + 1280 * * [misc]simplify: Extracting #7: cost 0 inf + 1200 * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 49 inf + 208 * * [misc]simplify: Extracting #4: cost 23 inf + 3952 * * [misc]simplify: Extracting #5: cost 13 inf + 4609 * * [misc]simplify: Extracting #6: cost 3 inf + 5637 * * [misc]simplify: Extracting #7: cost 0 inf + 6569 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ a b))))) * * * * [misc]progress: [ 92 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 87 * * [misc]simplify: Extracting #5: cost 7 inf + 1910 * * [misc]simplify: Extracting #6: cost 0 inf + 4168 * * [misc]simplify: Extracting #7: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 83 inf + 1 * * [misc]simplify: Extracting #3: cost 78 inf + 129 * * [misc]simplify: Extracting #4: cost 47 inf + 5097 * * [misc]simplify: Extracting #5: cost 5 inf + 17474 * * [misc]simplify: Extracting #6: cost 0 inf + 19374 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) 2) (cbrt (+ a b))))) * * * * [misc]progress: [ 93 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 87 * * [misc]simplify: Extracting #5: cost 5 inf + 940 * * [misc]simplify: Extracting #6: cost 0 inf + 2113 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (* (cbrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ a b))) (* (cbrt (+ a b)) (sqrt (- b a)))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 83 inf + 1 * * [misc]simplify: Extracting #3: cost 78 inf + 129 * * [misc]simplify: Extracting #4: cost 47 inf + 4417 * * [misc]simplify: Extracting #5: cost 5 inf + 15794 * * [misc]simplify: Extracting #6: cost 0 inf + 17494 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) (/ (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) 2) (cbrt (+ a b))))) * * * * [misc]progress: [ 94 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 167 * * [misc]simplify: Extracting #5: cost 1 inf + 492 * * [misc]simplify: Extracting #6: cost 0 inf + 695 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 86 inf + 1 * * [misc]simplify: Extracting #3: cost 111 inf + 87 * * [misc]simplify: Extracting #4: cost 87 inf + 3415 * * [misc]simplify: Extracting #5: cost 12 inf + 19520 * * [misc]simplify: Extracting #6: cost 0 inf + 22554 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) (- b a)))) * * * * [misc]progress: [ 95 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 45 * * [misc]simplify: Extracting #5: cost 6 inf + 618 * * [misc]simplify: Extracting #6: cost 0 inf + 2113 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (sqrt (+ a b))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 83 inf + 1 * * [misc]simplify: Extracting #3: cost 78 inf + 129 * * [misc]simplify: Extracting #4: cost 47 inf + 5017 * * [misc]simplify: Extracting #5: cost 5 inf + 15914 * * [misc]simplify: Extracting #6: cost 0 inf + 17614 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) 2) (sqrt (+ a b))))) * * * * [misc]progress: [ 96 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 44 * * [misc]simplify: Extracting #5: cost 1 inf + 860 * * [misc]simplify: Extracting #6: cost 0 inf + 983 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 83 inf + 1 * * [misc]simplify: Extracting #3: cost 78 inf + 129 * * [misc]simplify: Extracting #4: cost 47 inf + 4337 * * [misc]simplify: Extracting #5: cost 5 inf + 14234 * * [misc]simplify: Extracting #6: cost 0 inf + 15734 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) (/ (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) 2) (sqrt (+ a b))))) * * * * [misc]progress: [ 97 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 3 * * [misc]simplify: Extracting #5: cost 2 inf + 45 * * [misc]simplify: Extracting #6: cost 0 inf + 250 * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 86 inf + 1 * * [misc]simplify: Extracting #3: cost 111 inf + 87 * * [misc]simplify: Extracting #4: cost 87 inf + 3335 * * [misc]simplify: Extracting #5: cost 12 inf + 17320 * * [misc]simplify: Extracting #6: cost 0 inf + 19874 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) (- b a)))) * * * * [misc]progress: [ 98 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 736 * [exit]simplify: Simplified to (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 78 inf + 1 * * [misc]simplify: Extracting #3: cost 93 inf + 46 * * [misc]simplify: Extracting #4: cost 57 inf + 4901 * * [misc]simplify: Extracting #5: cost 4 inf + 16060 * * [misc]simplify: Extracting #6: cost 0 inf + 17274 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (cbrt (- b a))))) * * * * [misc]progress: [ 99 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 291 * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 78 inf + 1 * * [misc]simplify: Extracting #3: cost 93 inf + 46 * * [misc]simplify: Extracting #4: cost 57 inf + 4421 * * [misc]simplify: Extracting #5: cost 4 inf + 14060 * * [misc]simplify: Extracting #6: cost 0 inf + 15114 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (sqrt (- b a))))) * * * * [misc]progress: [ 100 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 90 inf + 1 * * [misc]simplify: Extracting #3: cost 162 inf + 87 * * [misc]simplify: Extracting #4: cost 101 inf + 7815 * * [misc]simplify: Extracting #5: cost 6 inf + 23235 * * [misc]simplify: Extracting #6: cost 0 inf + 24253 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ a b)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ a b)) 2))) * * * * [misc]progress: [ 101 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 79 inf + 0 * * [misc]simplify: Extracting #3: cost 82 inf + 3 * * [misc]simplify: Extracting #4: cost 49 inf + 6923 * * [misc]simplify: Extracting #5: cost 3 inf + 21727 * * [misc]simplify: Extracting #6: cost 0 inf + 22776 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* (cbrt (- b a)) (cbrt (+ a b))) (* (cbrt (- b a)) (cbrt (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (* (* (cbrt (- b a)) (cbrt (+ a b))) (* (cbrt (- b a)) (cbrt (+ a b))))) (/ (/ (/ 1 2) (cbrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 3 * * [misc]simplify: Extracting #4: cost 14 inf + 47 * * [misc]simplify: Extracting #5: cost 6 inf + 1145 * * [misc]simplify: Extracting #6: cost 0 inf + 2603 * [exit]simplify: Simplified to (/ (/ 1/2 (cbrt (- b a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1/2 (cbrt (- b a))) (cbrt (+ a b))))) * * * * [misc]progress: [ 102 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 52 inf + 44 * * [misc]simplify: Extracting #4: cost 31 inf + 3052 * * [misc]simplify: Extracting #5: cost 0 inf + 11698 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) (sqrt (- b a))) (/ (/ (/ 1 2) (cbrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 3 * * [misc]simplify: Extracting #4: cost 14 inf + 47 * * [misc]simplify: Extracting #5: cost 6 inf + 1065 * * [misc]simplify: Extracting #6: cost 0 inf + 2283 * [exit]simplify: Simplified to (/ (/ 1/2 (sqrt (- b a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) (/ (/ 1/2 (sqrt (- b a))) (cbrt (+ a b))))) * * * * [misc]progress: [ 103 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 1 * * [misc]simplify: Extracting #3: cost 29 inf + 46 * * [misc]simplify: Extracting #4: cost 16 inf + 1434 * * [misc]simplify: Extracting #5: cost 0 inf + 4956 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (/ 1 2) (cbrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 3 * * [misc]simplify: Extracting #3: cost 21 inf + 255 * * [misc]simplify: Extracting #4: cost 1 inf + 3466 * * [misc]simplify: Extracting #5: cost 0 inf + 3669 * [exit]simplify: Simplified to (/ (/ 1/2 (- b a)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ 1/2 (- b a)) (cbrt (+ a b))))) * * * * [misc]progress: [ 104 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 54 inf + 0 * * [misc]simplify: Extracting #3: cost 52 inf + 86 * * [misc]simplify: Extracting #4: cost 19 inf + 6488 * * [misc]simplify: Extracting #5: cost 0 inf + 11941 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (+ a b))) (/ (/ (/ 1 2) (sqrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 3 * * [misc]simplify: Extracting #4: cost 14 inf + 47 * * [misc]simplify: Extracting #5: cost 6 inf + 945 * * [misc]simplify: Extracting #6: cost 0 inf + 2283 * [exit]simplify: Simplified to (/ (/ 1/2 (cbrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1/2 (cbrt (- b a))) (sqrt (+ a b))))) * * * * [misc]progress: [ 105 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 37 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 128 * * [misc]simplify: Extracting #4: cost 12 inf + 2855 * * [misc]simplify: Extracting #5: cost 0 inf + 5690 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (sqrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (* (sqrt (+ a b)) (sqrt (- b a)))) (/ (/ (/ 1 2) (sqrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 3 * * [misc]simplify: Extracting #4: cost 14 inf + 47 * * [misc]simplify: Extracting #5: cost 6 inf + 865 * * [misc]simplify: Extracting #6: cost 0 inf + 1963 * [exit]simplify: Simplified to (/ (/ 1/2 (sqrt (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (sqrt (- b a))) (/ (/ 1/2 (sqrt (- b a))) (sqrt (+ a b))))) * * * * [misc]progress: [ 106 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 23 inf + 4 * * [misc]simplify: Extracting #4: cost 12 inf + 665 * * [misc]simplify: Extracting #5: cost 0 inf + 2457 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (/ (/ 1 2) (sqrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 3 * * [misc]simplify: Extracting #3: cost 21 inf + 255 * * [misc]simplify: Extracting #4: cost 1 inf + 2866 * * [misc]simplify: Extracting #5: cost 0 inf + 3029 * [exit]simplify: Simplified to (/ (/ 1/2 (- b a)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (/ 1/2 (- b a)) (sqrt (+ a b))))) * * * * [misc]progress: [ 107 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 30 inf + 4 * * [misc]simplify: Extracting #4: cost 23 inf + 376 * * [misc]simplify: Extracting #5: cost 6 inf + 3822 * * [misc]simplify: Extracting #6: cost 0 inf + 5078 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (cbrt (- b a))) (/ (/ (/ 1 2) (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 172 * * [misc]simplify: Extracting #4: cost 7 inf + 1476 * * [misc]simplify: Extracting #5: cost 0 inf + 2735 * [exit]simplify: Simplified to (/ (/ 1/2 (+ a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (cbrt (- b a))) (/ (/ 1/2 (+ a b)) (cbrt (- b a))))) * * * * [misc]progress: [ 108 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 87 * * [misc]simplify: Extracting #4: cost 7 inf + 907 * * [misc]simplify: Extracting #5: cost 0 inf + 2046 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (/ (/ (/ 1 2) (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 172 * * [misc]simplify: Extracting #4: cost 7 inf + 1276 * * [misc]simplify: Extracting #5: cost 0 inf + 2255 * [exit]simplify: Simplified to (/ (/ 1/2 (+ a b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (/ (/ 1/2 (+ a b)) (sqrt (- b a))))) * * * * [misc]progress: [ 109 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 4 * * [misc]simplify: Extracting #4: cost 1 inf + 211 * * [misc]simplify: Extracting #5: cost 0 inf + 334 * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ PI a) (/ PI b)) (/ (/ (/ 1 2) (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 64 inf + 3 * * [misc]simplify: Extracting #3: cost 60 inf + 2129 * * [misc]simplify: Extracting #4: cost 9 inf + 9174 * * [misc]simplify: Extracting #5: cost 0 inf + 10394 * * [misc]simplify: Extracting #6: cost 0 inf + 10354 * [exit]simplify: Simplified to (/ (/ 1/2 (+ a b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (- (/ PI a) (/ PI b)) (/ (/ 1/2 (+ a b)) (- b a)))) * * * * [misc]progress: [ 110 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 736 * [exit]simplify: Simplified to (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 78 inf + 1 * * [misc]simplify: Extracting #3: cost 93 inf + 46 * * [misc]simplify: Extracting #4: cost 57 inf + 4901 * * [misc]simplify: Extracting #5: cost 4 inf + 16060 * * [misc]simplify: Extracting #6: cost 0 inf + 17274 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (cbrt (- b a))))) * * * * [misc]progress: [ 111 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 291 * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 78 inf + 1 * * [misc]simplify: Extracting #3: cost 93 inf + 46 * * [misc]simplify: Extracting #4: cost 57 inf + 4421 * * [misc]simplify: Extracting #5: cost 4 inf + 14060 * * [misc]simplify: Extracting #6: cost 0 inf + 15114 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (sqrt (- b a))))) * * * * [misc]progress: [ 112 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 90 inf + 1 * * [misc]simplify: Extracting #3: cost 162 inf + 87 * * [misc]simplify: Extracting #4: cost 101 inf + 7815 * * [misc]simplify: Extracting #5: cost 6 inf + 23235 * * [misc]simplify: Extracting #6: cost 0 inf + 24253 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ a b)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ a b)) 2))) * * * * [misc]progress: [ 113 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 52 inf + 1 * * [misc]simplify: Extracting #3: cost 51 inf + 45 * * [misc]simplify: Extracting #4: cost 35 inf + 1444 * * [misc]simplify: Extracting #5: cost 3 inf + 9026 * * [misc]simplify: Extracting #6: cost 0 inf + 9755 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1 (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 1 inf + 1224 * * [misc]simplify: Extracting #4: cost 0 inf + 1265 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1 (cbrt (- b a))) (+ a b)))) * * * * [misc]progress: [ 114 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 35 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 295 * * [misc]simplify: Extracting #4: cost 17 inf + 1320 * * [misc]simplify: Extracting #5: cost 0 inf + 4215 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) 2) (/ (/ 1 (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 1 inf + 984 * * [misc]simplify: Extracting #4: cost 0 inf + 1025 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (- b a))) (/ (/ 1 (sqrt (- b a))) (+ a b)))) * * * * [misc]progress: [ 115 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 2 * * [misc]simplify: Extracting #3: cost 14 inf + 5 * * [misc]simplify: Extracting #4: cost 1 inf + 996 * * [misc]simplify: Extracting #5: cost 0 inf + 1078 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) 2) (/ (/ 1 (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 32 inf + 1 * * [misc]simplify: Extracting #3: cost 44 inf + 168 * * [misc]simplify: Extracting #4: cost 11 inf + 3752 * * [misc]simplify: Extracting #5: cost 0 inf + 4892 * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) 2) (/ (/ 1 (+ a b)) (- b a)))) * * * * [misc]progress: [ 116 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 114 inf + 1 * * [misc]simplify: Extracting #3: cost 173 inf + 170 * * [misc]simplify: Extracting #4: cost 165 inf + 1401 * * [misc]simplify: Extracting #5: cost 105 inf + 16047 * * [misc]simplify: Extracting #6: cost 1 inf + 48800 * * [misc]simplify: Extracting #7: cost 0 inf + 49043 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (* b (* b b)) (* (* a a) a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (* b (* b b)) (* (* a a) a))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 39 inf + 452 * * [misc]simplify: Extracting #4: cost 25 inf + 2076 * * [misc]simplify: Extracting #5: cost 2 inf + 6121 * * [misc]simplify: Extracting #6: cost 0 inf + 6605 * [exit]simplify: Simplified to (/ (+ (* a a) (* (- b a) b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (+ (* a a) (* (- b a) b)) (cbrt (- b a))))) * * * * [misc]progress: [ 117 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: iters left: 1 (461 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 80 inf + 1 * * [misc]simplify: Extracting #3: cost 120 inf + 45 * * [misc]simplify: Extracting #4: cost 109 inf + 4700 * * [misc]simplify: Extracting #5: cost 10 inf + 27733 * * [misc]simplify: Extracting #6: cost 0 inf + 30561 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (* b (* b b)) (* a (* a a)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (* b (* b b)) (* a (* a a)))) (sqrt (- b a))) (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 39 inf + 452 * * [misc]simplify: Extracting #4: cost 25 inf + 1876 * * [misc]simplify: Extracting #5: cost 2 inf + 5241 * * [misc]simplify: Extracting #6: cost 0 inf + 5645 * [exit]simplify: Simplified to (/ (+ (* a a) (* (- b a) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (/ (+ (* a a) (* (- b a) b)) (sqrt (- b a))))) * * * * [misc]progress: [ 118 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 2 * * [misc]simplify: Extracting #3: cost 51 inf + 295 * * [misc]simplify: Extracting #4: cost 50 inf + 1865 * * [misc]simplify: Extracting #5: cost 3 inf + 12413 * * [misc]simplify: Extracting #6: cost 1 inf + 10632 * * [misc]simplify: Extracting #7: cost 0 inf + 10875 * * [misc]simplify: Extracting #8: cost 0 inf + 10744 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ (* b (* b b)) (* (* a a) a))) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (+ (* b (* b b)) (* (* a a) a))) 2) (/ (+ (* a a) (- (* b b) (* a b))) (- b a)))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 41 inf + 0 * * [misc]simplify: Extracting #3: cost 43 inf + 615 * * [misc]simplify: Extracting #4: cost 19 inf + 2736 * * [misc]simplify: Extracting #5: cost 1 inf + 4611 * * [misc]simplify: Extracting #6: cost 0 inf + 4733 * [exit]simplify: Simplified to (/ (- (* b b) (* (- b a) a)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) 1) (/ (- (* b b) (* (- b a) a)) (- b a)))) * * * * [misc]progress: [ 119 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 40 inf + 0 * * [misc]simplify: Extracting #2: cost 188 inf + 1 * * [misc]simplify: Extracting #3: cost 220 inf + 6221 * * [misc]simplify: Extracting #4: cost 42 inf + 49169 * * [misc]simplify: Extracting #5: cost 0 inf + 61207 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- a b) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (- a b) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 1018 * [exit]simplify: Simplified to (/ (- a b) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- a b) (cbrt (- b a))))) * * * * [misc]progress: [ 120 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 29 inf + 0 * * [misc]simplify: Extracting #2: cost 120 inf + 1 * * [misc]simplify: Extracting #3: cost 162 inf + 457 * * [misc]simplify: Extracting #4: cost 84 inf + 13184 * * [misc]simplify: Extracting #5: cost 8 inf + 28246 * * [misc]simplify: Extracting #6: cost 0 inf + 30393 * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (sqrt (- b a))) (/ (- a b) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (- a b) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 818 * [exit]simplify: Simplified to (/ (- a b) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (sqrt (- b a))) (/ (- a b) (sqrt (- b a))))) * * * * [misc]progress: [ 121 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 68 inf + 2 * * [misc]simplify: Extracting #3: cost 123 inf + 501 * * [misc]simplify: Extracting #4: cost 71 inf + 6394 * * [misc]simplify: Extracting #5: cost 5 inf + 16842 * * [misc]simplify: Extracting #6: cost 0 inf + 17777 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- a b)) (* 2 (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (- a b)) (* 2 (+ a b))) (/ (- a b) (- b a)))) * [enter]simplify: Simplifying (/ (- a b) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 576 * [exit]simplify: Simplified to (/ (- a b) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (- a b)) (* 2 (+ a b))) (/ (- a b) (- b a)))) * * * * [misc]progress: [ 122 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 207 * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a)))) * * * * [misc]progress: [ 126 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 167 * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (sqrt (- b a))) (sqrt (- b a)))) * * * * [misc]progress: [ 127 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 43 * * [misc]simplify: Extracting #3: cost 0 inf + 85 * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) 1) (- b a))) * * * * [misc]progress: [ 128 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 1 * * [misc]simplify: Extracting #5: cost 36 inf + 213 * * [misc]simplify: Extracting #6: cost 11 inf + 2716 * * [misc]simplify: Extracting #7: cost 0 inf + 4593 * * [misc]simplify: Extracting #8: cost 0 inf + 4513 * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b))))) (/ (- b a) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))))) * * * * [misc]progress: [ 129 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 35 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 418 * * [misc]simplify: Extracting #5: cost 17 inf + 1573 * * [misc]simplify: Extracting #6: cost 1 inf + 3825 * * [misc]simplify: Extracting #7: cost 0 inf + 4109 * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)) (/ (- b a) (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))))) * * * * [misc]progress: [ 130 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 3 * * [misc]simplify: Extracting #5: cost 17 inf + 498 * * [misc]simplify: Extracting #6: cost 9 inf + 1157 * * [misc]simplify: Extracting #7: cost 3 inf + 3181 * * [misc]simplify: Extracting #8: cost 0 inf + 4433 * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ (- b a) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))))) * * * * [misc]progress: [ 131 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 3 * * [misc]simplify: Extracting #5: cost 11 inf + 543 * * [misc]simplify: Extracting #6: cost 2 inf + 2171 * * [misc]simplify: Extracting #7: cost 0 inf + 2859 * * [misc]simplify: Extracting #8: cost 0 inf + 2779 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ a b)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ a b)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (- b a) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b)))))) * * * * [misc]progress: [ 132 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 2 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 4 inf + 914 * * [misc]simplify: Extracting #7: cost 0 inf + 1809 * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (- b a) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b))))) * * * * [misc]progress: [ 133 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 45 * * [misc]simplify: Extracting #5: cost 14 inf + 414 * * [misc]simplify: Extracting #6: cost 3 inf + 1321 * * [misc]simplify: Extracting #7: cost 0 inf + 2293 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- b a) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))))) * * * * [misc]progress: [ 134 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 127 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 2 inf + 1119 * * [misc]simplify: Extracting #7: cost 0 inf + 1647 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (- b a) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b)))))) * * * * [misc]progress: [ 135 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 2 * * [misc]simplify: Extracting #4: cost 12 inf + 89 * * [misc]simplify: Extracting #5: cost 2 inf + 832 * * [misc]simplify: Extracting #6: cost 1 inf + 996 * * [misc]simplify: Extracting #7: cost 0 inf + 1200 * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (- b a) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b))))) * * * * [misc]progress: [ 136 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 695 * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b)))))) * * * * [misc]progress: [ 137 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 250 * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ 1 (sqrt (+ a b))) (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b)))))) * * * * [misc]progress: [ 138 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))))) * * * * [misc]progress: [ 139 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 86 * * [misc]simplify: Extracting #4: cost 8 inf + 2561 * * [misc]simplify: Extracting #5: cost 0 inf + 4223 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- b a) (/ (/ 1 2) (cbrt (+ a b)))))) * * * * [misc]progress: [ 140 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 3 * * [misc]simplify: Extracting #4: cost 6 inf + 743 * * [misc]simplify: Extracting #5: cost 0 inf + 1759 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (- b a) (/ (/ 1 2) (sqrt (+ a b)))))) * * * * [misc]progress: [ 141 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 4 * * [misc]simplify: Extracting #4: cost 1 inf + 211 * * [misc]simplify: Extracting #5: cost 0 inf + 334 * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (/ PI a) (/ PI b)) (/ (- b a) (/ (/ 1 2) (+ a b))))) * * * * [misc]progress: [ 142 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 46 * * [misc]simplify: Extracting #4: cost 1 inf + 872 * * [misc]simplify: Extracting #5: cost 0 inf + 995 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) 2) (/ (- b a) (/ 1 (+ a b))))) * * * * [misc]progress: [ 144 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 1 * * [misc]simplify: Extracting #3: cost 47 inf + 295 * * [misc]simplify: Extracting #4: cost 51 inf + 1403 * * [misc]simplify: Extracting #5: cost 2 inf + 9608 * * [misc]simplify: Extracting #6: cost 0 inf + 10255 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (* b (* b b)) (* (* a a) a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (* b (* b b)) (* (* a a) a))) (/ (- b a) (+ (* a a) (- (* b b) (* a b)))))) * * * * [misc]progress: [ 145 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 114 inf + 1 * * [misc]simplify: Extracting #3: cost 175 inf + 664 * * [misc]simplify: Extracting #4: cost 115 inf + 9258 * * [misc]simplify: Extracting #5: cost 15 inf + 26148 * * [misc]simplify: Extracting #6: cost 0 inf + 27904 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (/ (- b a) (- a b)))) * * * * [misc]progress: [ 146 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 696 * * [misc]simplify: Extracting #5: cost 0 inf + 616 * [exit]simplify: Simplified to (+ (* b b) (* (+ b a) a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- (pow b 3) (pow a 3))) (+ (* b b) (* (+ b a) a)))) * * * * [misc]progress: [ 147 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- (* b b) (* a a))) (+ a b))) * * * * [misc]progress: [ 148 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 46 * * [misc]simplify: Extracting #4: cost 1 inf + 872 * * [misc]simplify: Extracting #5: cost 0 inf + 995 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 149 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * * * [misc]progress: [ 150 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * * * [misc]progress: [ 151 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * * * [misc]progress: [ 152 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 171 * * [misc]simplify: Extracting #3: cost 1 inf + 963 * * [misc]simplify: Extracting #4: cost 0 inf + 1046 * [exit]simplify: Simplified to (/ 1/2 (* (/ b PI) a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ 1/2 (* (/ b PI) a)) (- b a))) * * * * [misc]progress: [ 153 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 171 * * [misc]simplify: Extracting #3: cost 1 inf + 963 * * [misc]simplify: Extracting #4: cost 0 inf + 1046 * [exit]simplify: Simplified to (/ -1/2 (* (/ b PI) a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ -1/2 (* (/ b PI) a)) (- b a))) * * * * [misc]progress: [ 154 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 171 * * [misc]simplify: Extracting #3: cost 1 inf + 963 * * [misc]simplify: Extracting #4: cost 0 inf + 1046 * [exit]simplify: Simplified to (/ -1/2 (* (/ b PI) a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ -1/2 (* (/ b PI) a)) (- b a))) * * * * [misc]progress: [ 155 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * * * [misc]progress: [ 156 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * * * [misc]progress: [ 157 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * * * [misc]progress: [ 158 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 159 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 160 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (/ PI b) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 b)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- b))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- b))) into (/ PI b) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI a) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* -1/2 PI) a) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ 1 (- b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ 1 (- b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* (* 1/2 (/ PI b)) (/ 1 b)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ -1 b)))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ PI b)) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) 2) (+ (* (* 1/2 PI) (/ 0 2)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI b)) (/ 1 (pow b 2))) (* (- (/ PI (pow b 2))) (/ 1 b))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* (/ 1 (pow b 2)) (/ -1 b)))) into (/ 1 (pow b 3)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* (- (* 1/2 (/ PI b))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI b)) (/ 1 (pow b 3))) (+ (* (- (/ PI (pow b 2))) (/ 1 (pow b 2))) (* (/ PI (pow b 3)) (/ 1 b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) (/ 1 (- (/ 1 b) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) (/ 1 (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* a PI) 0) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) (/ 1 (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (/ (- (* PI b)) 2) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* b PI)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) (/ 1 (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (/ (- (* PI b)) 2) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* b PI)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* -1/2 (* PI b)) -1) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (/ 1 b) -1)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ PI 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* PI b)) (/ (/ 1 b) 1)))) into PI * [misc]backup-simplify: Simplify (+ (* (* -1/2 (* PI b)) (- (/ 1 b))) (* PI -1)) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 b)) (/ (/ 1 b) -1)))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)) (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (* PI b)) (- (/ 1 (pow b 2)))) (+ (* PI (- (/ 1 b))) (* (- (/ PI b)) -1))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1 (- (/ 1 (- b)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1 (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ PI (/ -1 a)) into (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 (* a PI)) 0) into (- (* a PI)) * [misc]backup-simplify: Simplify (/ (- (* a PI)) 2) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* a PI)) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1 (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1 (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* -1/2 (* PI b)) 1) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 b)) 1)))) into (/ 1 b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 PI) 0) into (- PI) * [misc]backup-simplify: Simplify (- (/ (- PI) 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) -1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) -1)))) into PI * [misc]backup-simplify: Simplify (+ (* (* -1/2 (* PI b)) (/ 1 b)) (* PI 1)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 b) (/ (- (/ 1 b)) 1)))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)) (* (- (* 1/2 PI)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ 0 -1)) (* PI (/ (- (/ 1 b)) -1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (* PI b)) (/ 1 (pow b 2))) (+ (* PI (/ 1 b)) (* (- (/ PI b)) 1))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI a) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* -1/2 PI) a) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ PI b)) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) 2) (+ (* (* 1/2 PI) (/ 0 2)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* (- (* 1/2 (/ PI b))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* (- (* 1/2 (/ PI b))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b)))) into (- (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* a PI) 0) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (/ (- (* PI b)) 2) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* b PI)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (/ (- (* PI b)) 2) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* b PI)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ PI 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* PI b)) (/ (/ 1 b) 1)))) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)) (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)) (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ PI (/ -1 a)) into (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 (* a PI)) 0) into (- (* a PI)) * [misc]backup-simplify: Simplify (/ (- (* a PI)) 2) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* a PI)) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 PI) 0) into (- PI) * [misc]backup-simplify: Simplify (- (/ (- PI) 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) -1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) -1)))) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)) (* (- (* 1/2 PI)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ 0 -1)) (* PI (/ (- (/ 1 b)) -1)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)) (* (- (* 1/2 PI)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ 0 -1)) (* PI (/ 0 -1)) (* (- (/ PI b)) (/ (- (/ 1 b)) -1)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ PI a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- a))) into (/ PI a) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 72 inf + 0 * * [misc]simplify: Extracting #2: cost 181 inf + 3 * * [misc]simplify: Extracting #3: cost 180 inf + 2754 * * [misc]simplify: Extracting #4: cost 95 inf + 16187 * * [misc]simplify: Extracting #5: cost 5 inf + 35229 * * [misc]simplify: Extracting #6: cost 0 inf + 36413 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) (* 2 (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) (* 2 (- b a))) 1)) * * * * [misc]progress: [ 12 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ a b))) (- (log (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 50 inf + 0 * * [misc]simplify: Extracting #2: cost 77 inf + 0 * * [misc]simplify: Extracting #3: cost 84 inf + 72 * * [misc]simplify: Extracting #4: cost 87 inf + 185 * * [misc]simplify: Extracting #5: cost 81 inf + 395 * * [misc]simplify: Extracting #6: cost 59 inf + 4114 * * [misc]simplify: Extracting #7: cost 9 inf + 20720 * * [misc]simplify: Extracting #8: cost 0 inf + 25056 * [exit]simplify: Simplified to (- (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (- b a))) (log (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (- b a))) (log (+ a b))))) * * * * [misc]progress: [ 14 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ a b))) (log (/ 1 (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 99 inf + 0 * * [misc]simplify: Extracting #2: cost 238 inf + 1 * * [misc]simplify: Extracting #3: cost 248 inf + 2 * * [misc]simplify: Extracting #4: cost 226 inf + 3663 * * [misc]simplify: Extracting #5: cost 90 inf + 40536 * * [misc]simplify: Extracting #6: cost 18 inf + 66693 * * [misc]simplify: Extracting #7: cost 0 inf + 75121 * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (+ a b)) (log (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (+ a b)) (log (- b a)))))) * * * * [misc]progress: [ 15 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (- (log (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 56 inf + 0 * * [misc]simplify: Extracting #2: cost 99 inf + 0 * * [misc]simplify: Extracting #3: cost 115 inf + 1 * * [misc]simplify: Extracting #4: cost 119 inf + 714 * * [misc]simplify: Extracting #5: cost 64 inf + 13079 * * [misc]simplify: Extracting #6: cost 11 inf + 27780 * * [misc]simplify: Extracting #7: cost 0 inf + 32145 * * [misc]simplify: Extracting #8: cost 0 inf + 32075 * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (log (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (log (- b a))))) * * * * [misc]progress: [ 16 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (log (/ 1 (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 66 inf + 0 * * [misc]simplify: Extracting #2: cost 138 inf + 1 * * [misc]simplify: Extracting #3: cost 157 inf + 2 * * [misc]simplify: Extracting #4: cost 162 inf + 271 * * [misc]simplify: Extracting #5: cost 124 inf + 8172 * * [misc]simplify: Extracting #6: cost 28 inf + 35118 * * [misc]simplify: Extracting #7: cost 3 inf + 44197 * * [misc]simplify: Extracting #8: cost 0 inf + 45596 * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (log (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (log (- b a))))) * * * * [misc]progress: [ 17 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (/ (- (/ PI a) (/ PI b)) 2) (/ (- (/ PI a) (/ PI b)) 2)) (/ (- (/ PI a) (/ PI b)) 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (/ 1 (- b a)) (/ 1 (- b a))) (/ 1 (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 83 inf + 0 * * [misc]simplify: Extracting #2: cost 278 inf + 2 * * [misc]simplify: Extracting #3: cost 316 inf + 1279 * * [misc]simplify: Extracting #4: cost 225 inf + 22891 * * [misc]simplify: Extracting #5: cost 28 inf + 92009 * * [misc]simplify: Extracting #6: cost 0 inf + 103136 * * [misc]simplify: Extracting #7: cost 0 inf + 103056 * [exit]simplify: Simplified to (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (* (/ 1 (- b a)) (/ (/ 1 (- b a)) (- b a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (* (/ 1 (- b a)) (/ (/ 1 (- b a)) (- b a)))))))) * * * * [misc]progress: [ 20 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (* (* (/ 1 (- b a)) (/ 1 (- b a))) (/ 1 (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 150 inf + 1 * * [misc]simplify: Extracting #3: cost 191 inf + 174 * * [misc]simplify: Extracting #4: cost 140 inf + 11843 * * [misc]simplify: Extracting #5: cost 26 inf + 51890 * * [misc]simplify: Extracting #6: cost 0 inf + 62093 * [exit]simplify: Simplified to (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a))) (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (/ (/ 1 (- b a)) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a))) (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (/ (/ 1 (- b a)) (- b a)))))) * * * * [misc]progress: [ 21 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) 2) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 3 * * [misc]simplify: Extracting #3: cost 33 inf + 215 * * [misc]simplify: Extracting #4: cost 8 inf + 2034 * * [misc]simplify: Extracting #5: cost 0 inf + 2940 * [exit]simplify: Simplified to (* 1/2 (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* 1/2 (- (/ PI a) (/ PI b))) (* (+ a b) (- b a)))) * [enter]simplify: Simplifying (* (+ a b) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 28 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 84 * * [misc]simplify: Extracting #4: cost 12 inf + 1836 * * [misc]simplify: Extracting #5: cost 0 inf + 4140 * [exit]simplify: Simplified to (* (+ b a) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* 1/2 (- (/ PI a) (/ PI b))) (* (+ b a) (- b a)))) * * * * [misc]progress: [ 25 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 43 * * [misc]simplify: Extracting #3: cost 0 inf + 85 * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * * * [misc]progress: [ 27 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 332 * [exit]simplify: Simplified to (cbrt (/ 1 (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a))))) (cbrt (/ 1 (- b a))))) * * * * [misc]progress: [ 28 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 292 * [exit]simplify: Simplified to (sqrt (/ 1 (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (sqrt (/ 1 (- b a)))) (sqrt (/ 1 (- b a))))) * * * * [misc]progress: [ 29 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 169 * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) 1) (/ 1 (- b a)))) * * * * [misc]progress: [ 30 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 169 * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) 1) (/ 1 (- b a)))) * * * * [misc]progress: [ 31 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 696 * * [misc]simplify: Extracting #5: cost 0 inf + 616 * [exit]simplify: Simplified to (+ (* b b) (* (+ b a) a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- (pow b 3) (pow a 3)))) (+ (* b b) (* (+ b a) a)))) * * * * [misc]progress: [ 32 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- (* b b) (* a a)))) (+ a b))) * * * * [misc]progress: [ 33 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 1 * * [misc]simplify: Extracting #5: cost 36 inf + 213 * * [misc]simplify: Extracting #6: cost 11 inf + 2716 * * [misc]simplify: Extracting #7: cost 0 inf + 4593 * * [misc]simplify: Extracting #8: cost 0 inf + 4513 * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ a b))))) (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (/ 1 (- b a))))) * * * * [misc]progress: [ 34 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 35 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 418 * * [misc]simplify: Extracting #5: cost 17 inf + 1573 * * [misc]simplify: Extracting #6: cost 1 inf + 3825 * * [misc]simplify: Extracting #7: cost 0 inf + 4109 * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)) (* (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (/ 1 (- b a))))) * * * * [misc]progress: [ 35 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 3 * * [misc]simplify: Extracting #5: cost 17 inf + 498 * * [misc]simplify: Extracting #6: cost 9 inf + 1157 * * [misc]simplify: Extracting #7: cost 3 inf + 3181 * * [misc]simplify: Extracting #8: cost 0 inf + 4433 * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ 1 (- b a))))) * * * * [misc]progress: [ 36 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 3 * * [misc]simplify: Extracting #5: cost 11 inf + 543 * * [misc]simplify: Extracting #6: cost 2 inf + 2171 * * [misc]simplify: Extracting #7: cost 0 inf + 2859 * * [misc]simplify: Extracting #8: cost 0 inf + 2779 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ a b)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ a b)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ 1 (- b a))))) * * * * [misc]progress: [ 37 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 2 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 4 inf + 914 * * [misc]simplify: Extracting #7: cost 0 inf + 1809 * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (/ 1 (- b a))))) * * * * [misc]progress: [ 38 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 45 * * [misc]simplify: Extracting #5: cost 14 inf + 414 * * [misc]simplify: Extracting #6: cost 3 inf + 1321 * * [misc]simplify: Extracting #7: cost 0 inf + 2293 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ 1 (- b a))))) * * * * [misc]progress: [ 39 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 127 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 2 inf + 1119 * * [misc]simplify: Extracting #7: cost 0 inf + 1647 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ 1 (- b a))))) * * * * [misc]progress: [ 40 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 2 * * [misc]simplify: Extracting #4: cost 12 inf + 89 * * [misc]simplify: Extracting #5: cost 2 inf + 832 * * [misc]simplify: Extracting #6: cost 1 inf + 996 * * [misc]simplify: Extracting #7: cost 0 inf + 1200 * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (/ 1 (- b a))))) * * * * [misc]progress: [ 41 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 695 * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) (/ 1 (- b a))))) * * * * [misc]progress: [ 42 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 250 * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) (/ 1 (- b a))))) * * * * [misc]progress: [ 43 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a))))) * * * * [misc]progress: [ 44 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 86 * * [misc]simplify: Extracting #4: cost 8 inf + 2561 * * [misc]simplify: Extracting #5: cost 0 inf + 4223 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (/ (/ 1 2) (cbrt (+ a b))) (/ 1 (- b a))))) * * * * [misc]progress: [ 45 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 3 * * [misc]simplify: Extracting #4: cost 6 inf + 743 * * [misc]simplify: Extracting #5: cost 0 inf + 1759 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (* (/ (/ 1 2) (sqrt (+ a b))) (/ 1 (- b a))))) * * * * [misc]progress: [ 46 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 4 * * [misc]simplify: Extracting #4: cost 1 inf + 211 * * [misc]simplify: Extracting #5: cost 0 inf + 334 * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ PI a) (/ PI b)) (* (/ (/ 1 2) (+ a b)) (/ 1 (- b a))))) * * * * [misc]progress: [ 47 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 46 * * [misc]simplify: Extracting #4: cost 1 inf + 872 * * [misc]simplify: Extracting #5: cost 0 inf + 995 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) 2) (* (/ 1 (+ a b)) (/ 1 (- b a))))) * * * * [misc]progress: [ 49 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 1 * * [misc]simplify: Extracting #3: cost 47 inf + 295 * * [misc]simplify: Extracting #4: cost 51 inf + 1403 * * [misc]simplify: Extracting #5: cost 2 inf + 9608 * * [misc]simplify: Extracting #6: cost 0 inf + 10255 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (* b (* b b)) (* (* a a) a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (* b (* b b)) (* (* a a) a))) (* (+ (* a a) (- (* b b) (* a b))) (/ 1 (- b a))))) * * * * [misc]progress: [ 50 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 114 inf + 1 * * [misc]simplify: Extracting #3: cost 175 inf + 664 * * [misc]simplify: Extracting #4: cost 115 inf + 9258 * * [misc]simplify: Extracting #5: cost 15 inf + 26148 * * [misc]simplify: Extracting #6: cost 0 inf + 27904 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (* (- a b) (/ 1 (- b a))))) * * * * [misc]progress: [ 51 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 43 * * [misc]simplify: Extracting #3: cost 0 inf + 85 * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) 1) (- b a))) * * * * [misc]progress: [ 52 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) 2) (/ 1 (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 78 inf + 3 * * [misc]simplify: Extracting #3: cost 138 inf + 49 * * [misc]simplify: Extracting #4: cost 105 inf + 2685 * * [misc]simplify: Extracting #5: cost 27 inf + 12543 * * [misc]simplify: Extracting #6: cost 0 inf + 17288 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (/ (- b a) 1/2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (/ (- b a) 1/2)) (+ a b))) * * * * [misc]progress: [ 53 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 72 * * [misc]simplify: Extracting #4: cost 27 inf + 227 * * [misc]simplify: Extracting #5: cost 19 inf + 1035 * * [misc]simplify: Extracting #6: cost 7 inf + 2634 * * [misc]simplify: Extracting #7: cost 3 inf + 3458 * * [misc]simplify: Extracting #8: cost 0 inf + 4528 * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ a b)))) (/ 1 (- b a)))) * * * * [misc]progress: [ 56 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (/ PI a) (/ PI b)) 2) (/ (- (/ PI a) (/ PI b)) 2)) (/ (- (/ PI a) (/ PI b)) 2)) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 56 inf + 0 * * [misc]simplify: Extracting #2: cost 151 inf + 2 * * [misc]simplify: Extracting #3: cost 213 inf + 88 * * [misc]simplify: Extracting #4: cost 143 inf + 12674 * * [misc]simplify: Extracting #5: cost 14 inf + 46719 * * [misc]simplify: Extracting #6: cost 0 inf + 51011 * [exit]simplify: Simplified to (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (cbrt (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (* (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)))) (/ 1 (- b a)))) * * * * [misc]progress: [ 59 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI a) 2) (+ a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 3 * * [misc]simplify: Extracting #3: cost 9 inf + 461 * * [misc]simplify: Extracting #4: cost 1 inf + 1323 * * [misc]simplify: Extracting #5: cost 0 inf + 1327 * [exit]simplify: Simplified to (/ (/ (/ PI a) 2) (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (- (/ (/ (/ PI a) 2) (+ a b)) (/ (/ (/ PI b) 2) (+ a b))) (/ 1 (- b a)))) * * * * [misc]progress: [ 64 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 3 * * [misc]simplify: Extracting #5: cost 17 inf + 498 * * [misc]simplify: Extracting #6: cost 9 inf + 1157 * * [misc]simplify: Extracting #7: cost 3 inf + 3181 * * [misc]simplify: Extracting #8: cost 0 inf + 4433 * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ 1 (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 167 * * [misc]simplify: Extracting #5: cost 13 inf + 252 * * [misc]simplify: Extracting #6: cost 2 inf + 1159 * * [misc]simplify: Extracting #7: cost 0 inf + 1807 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ 1 (- b a)))) * * * * [misc]progress: [ 65 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 3 * * [misc]simplify: Extracting #5: cost 11 inf + 543 * * [misc]simplify: Extracting #6: cost 2 inf + 2171 * * [misc]simplify: Extracting #7: cost 0 inf + 2859 * * [misc]simplify: Extracting #8: cost 0 inf + 2779 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ a b)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ a b)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b)))) (/ 1 (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 127 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 2 inf + 1119 * * [misc]simplify: Extracting #7: cost 0 inf + 1727 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b)))) (/ 1 (- b a)))) * * * * [misc]progress: [ 66 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 2 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 4 inf + 914 * * [misc]simplify: Extracting #7: cost 0 inf + 1809 * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b))) (/ 1 (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 2 * * [misc]simplify: Extracting #4: cost 16 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 130 * * [misc]simplify: Extracting #6: cost 2 inf + 1037 * * [misc]simplify: Extracting #7: cost 0 inf + 1605 * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b))) (/ 1 (- b a)))) * * * * [misc]progress: [ 67 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 45 * * [misc]simplify: Extracting #5: cost 14 inf + 414 * * [misc]simplify: Extracting #6: cost 3 inf + 1321 * * [misc]simplify: Extracting #7: cost 0 inf + 2293 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ 1 (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 167 * * [misc]simplify: Extracting #5: cost 13 inf + 252 * * [misc]simplify: Extracting #6: cost 2 inf + 1159 * * [misc]simplify: Extracting #7: cost 0 inf + 1727 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ 1 (- b a)))) * * * * [misc]progress: [ 68 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 127 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 2 inf + 1119 * * [misc]simplify: Extracting #7: cost 0 inf + 1647 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b)))) (/ 1 (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 127 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 2 inf + 1119 * * [misc]simplify: Extracting #7: cost 0 inf + 1647 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b)))) (/ 1 (- b a)))) * * * * [misc]progress: [ 69 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 2 * * [misc]simplify: Extracting #4: cost 12 inf + 89 * * [misc]simplify: Extracting #5: cost 2 inf + 832 * * [misc]simplify: Extracting #6: cost 1 inf + 996 * * [misc]simplify: Extracting #7: cost 0 inf + 1200 * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b))) (/ 1 (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 2 * * [misc]simplify: Extracting #4: cost 16 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 130 * * [misc]simplify: Extracting #6: cost 2 inf + 1037 * * [misc]simplify: Extracting #7: cost 0 inf + 1525 * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b))) (/ 1 (- b a)))) * * * * [misc]progress: [ 70 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 695 * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b)))) (/ 1 (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 35 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 376 * * [misc]simplify: Extracting #4: cost 15 inf + 1644 * * [misc]simplify: Extracting #5: cost 1 inf + 4570 * * [misc]simplify: Extracting #6: cost 0 inf + 4894 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) 2)) (/ 1 (- b a)))) * * * * [misc]progress: [ 71 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 250 * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (sqrt (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b)))) (/ 1 (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 35 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 376 * * [misc]simplify: Extracting #4: cost 15 inf + 1484 * * [misc]simplify: Extracting #5: cost 1 inf + 3890 * * [misc]simplify: Extracting #6: cost 0 inf + 4174 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (sqrt (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) 2)) (/ 1 (- b a)))) * * * * [misc]progress: [ 72 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* 1 (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (/ 1 (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 1 * * [misc]simplify: Extracting #3: cost 31 inf + 459 * * [misc]simplify: Extracting #4: cost 5 inf + 3490 * * [misc]simplify: Extracting #5: cost 0 inf + 3825 * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* 1 (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) 2)) (/ 1 (- b a)))) * * * * [misc]progress: [ 73 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 86 * * [misc]simplify: Extracting #4: cost 8 inf + 2561 * * [misc]simplify: Extracting #5: cost 0 inf + 4223 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b)))) (/ 1 (- b a)))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 3 * * [misc]simplify: Extracting #3: cost 7 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 658 * [exit]simplify: Simplified to (/ 1/2 (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ 1/2 (cbrt (+ a b)))) (/ 1 (- b a)))) * * * * [misc]progress: [ 74 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 3 * * [misc]simplify: Extracting #4: cost 6 inf + 743 * * [misc]simplify: Extracting #5: cost 0 inf + 1759 * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (/ 1 2) (sqrt (+ a b)))) (/ 1 (- b a)))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 3 * * [misc]simplify: Extracting #3: cost 7 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 498 * [exit]simplify: Simplified to (/ 1/2 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ 1/2 (sqrt (+ a b)))) (/ 1 (- b a)))) * * * * [misc]progress: [ 75 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 4 * * [misc]simplify: Extracting #4: cost 1 inf + 211 * * [misc]simplify: Extracting #5: cost 0 inf + 334 * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (- (/ PI a) (/ PI b)) (/ (/ 1 2) (+ a b))) (/ 1 (- b a)))) * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 3 * * [misc]simplify: Extracting #3: cost 1 inf + 338 * * [misc]simplify: Extracting #4: cost 0 inf + 380 * [exit]simplify: Simplified to (/ 1/2 (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (- (/ PI a) (/ PI b)) (/ 1/2 (+ a b))) (/ 1 (- b a)))) * * * * [misc]progress: [ 76 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 166 * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a))) (/ 1 (- b a)))) * * * * [misc]progress: [ 80 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 126 * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) (sqrt (+ b a))) (/ 1 (- b a)))) * * * * [misc]progress: [ 81 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) 1) (+ b a)) (/ 1 (- b a)))) * * * * [misc]progress: [ 82 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 294 * * [misc]simplify: Extracting #6: cost 2 inf + 995 * * [misc]simplify: Extracting #7: cost 0 inf + 1523 * [exit]simplify: Simplified to (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ 1 (- b a)))) * * * * [misc]progress: [ 83 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ PI a) (/ PI b)) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 1 inf + 995 * * [misc]simplify: Extracting #6: cost 0 inf + 1199 * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (sqrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ 1 (- b a)))) * * * * [misc]progress: [ 84 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI a) (/ PI b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 333 * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (/ (+ a b) (/ 1 2))) (/ 1 (- b a)))) * * * * [misc]progress: [ 86 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 84 * * [misc]simplify: Extracting #4: cost 6 inf + 1026 * * [misc]simplify: Extracting #5: cost 0 inf + 1717 * [exit]simplify: Simplified to (- (* b b) (* (- b a) a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) (- (* b b) (* (- b a) a))) (/ 1 (- b a)))) * * * * [misc]progress: [ 87 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 43 * * [misc]simplify: Extracting #3: cost 0 inf + 85 * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (- a b)) (/ 1 (- b a)))) * * * * [misc]progress: [ 88 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI a) (/ PI b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 333 * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (* (+ a b) 2)) (/ 1 (- b a)))) * * * * [misc]progress: [ 89 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a)))) * * * * [misc]progress: [ 100 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a)))) * * * * [misc]progress: [ 101 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a)))) * * * * [misc]progress: [ 102 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 103 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 104 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 105 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 171 * * [misc]simplify: Extracting #3: cost 1 inf + 963 * * [misc]simplify: Extracting #4: cost 0 inf + 1046 * [exit]simplify: Simplified to (/ 1/2 (* (/ b PI) a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1/2 (* (/ b PI) a)) (/ 1 (- b a)))) * * * * [misc]progress: [ 106 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 171 * * [misc]simplify: Extracting #3: cost 1 inf + 963 * * [misc]simplify: Extracting #4: cost 0 inf + 1046 * [exit]simplify: Simplified to (/ -1/2 (* (/ b PI) a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ -1/2 (* (/ b PI) a)) (/ 1 (- b a)))) * * * * [misc]progress: [ 107 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 171 * * [misc]simplify: Extracting #3: cost 1 inf + 963 * * [misc]simplify: Extracting #4: cost 0 inf + 1046 * [exit]simplify: Simplified to (/ -1/2 (* (/ b PI) a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ -1/2 (* (/ b PI) a)) (/ 1 (- b a)))) * * * * [misc]progress: [ 108 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a)))) * * * * [misc]progress: [ 109 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a)))) * * * * [misc]progress: [ 110 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ 1 (- b a)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (a b) * * * * [misc]regimes: Trying to branch on a from (# # # # # # #) * * * * [misc]regimes: Trying to branch on b from (# # # # # # #) * * * [misc]regime: Found split indices: #