* [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 39 additional inputs, on iter 1 have 217 / 256 * * * * [misc]points: Computing exacts on every 2 of 39 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 39 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 6 additional inputs, on iter 2 have 250 / 256 * * * * [misc]points: Computing exacts for 6 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 257 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 (93 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 2 * [misc]none: All alts: 2 * [misc]none: Fresh alt: (λ (a b) (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))) * [misc]none: Fresh alt: (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (a b) (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))): 0 * [misc]none: (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))): 1 * [misc]none: Best fresh alt per point * [misc]none: (-1.5418757249344543e-63 -1.5808149525401404e+250): 0 * [misc]none: (3.027496459540811e+165 -1.2288638190895444e-91): 0 * [misc]none: (-1.9577524593014605e+255 2.4666697643039057e+135): 0 * [misc]none: (-9.953058197226308e-231 -1.6523309537219388e+292): 0 * [misc]none: (1.4077992202573094e+157 -1.6969785717566782e-186): 0 * [misc]none: (1.2222350343583978e+196 -1.4775843798497103e-226): 0 * [misc]none: (4.042918419768235e-293 -3.2304680091420593e+273): 0 * [misc]none: (-1.2948317804463169e-282 -2.8090151520671207e+163): 0 * [misc]none: (-3.464947738442053e-155 4.004060788521414e+101): 0 * [misc]none: (5.679811834757315e+283 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1.6505576250215693e+254): 0 * [misc]none: (-8.454483141733306e+289 3.2999709724191907e-111): 0 * [misc]none: (-6.317430000587058e+24 -4.671984247068368e+114): 0 * [misc]none: (-2.9619260441588295e+211 -7.22878673519174e-279): 0 * [misc]none: (-3.759430214395936e-120 -1.445629235880647e+140): 0 * [misc]none: (2.1262474173228004e+275 2.0609285567281652e-241): 0 * [misc]none: (1.9640202737101926e+158 4.0355590295024944e+30): 0 * [misc]none: (-3.1297081963080297e-242 8.94051254019841e+73): 0 * [misc]none: (-1.0418876601412776e+158 1.334212127520659e-194): 0 * [misc]none: (2.3042294780211474e+199 -0.1449571473562267): 0 * [misc]none: (-1.322393042309631e-287 331.0762921520269): 0 * [misc]none: (2.486727752761897e+186 6.1692613790114145e-176): 0 * [misc]none: (1.6628640493696272e+86 -1.5025592441357432e-91): 0 * [misc]none: (2.3621708607435707e+306 -2.12081898299509e-251): 0 * [misc]none: (-4.444969967255464e-50 -7.309457855467372e+172): 0 * [misc]none: (-5.496412463214942e+159 -1.4721600470373534e-29): 0 * [misc]none: (-3.123985774571585e+305 4.3713778543032466e+80): 0 * [misc]none: (9.77689775396416e+270 -3.9142022803361806e-187): 0 * [misc]none: (-5.65740503188699e+260 5.701436151254667e-51): 0 * [misc]none: (-4.0509904466518765e-37 -6.2678543781187986e-158): 0 * [misc]none: (2.6870891996869854e+222 1.403842517343178e+239): 1 * [misc]none: (-4.523272375047282e+19 -3.133147621079016e+299): 0 * [misc]none: (-3.1263201082196465e-277 4.562606033317646e+142): 0 * [misc]none: (2.1157410136365666e+27 1.7344997138936077e-42): 0 * [misc]none: (-3.913559470208424e-83 -2.9867969528063676e+265): 0 * [misc]none: (3.0173777232564683e+257 1.4365336082533024e-65): 0 * [misc]none: (7.3222795686052666e+50 -9.290387573799883e-227): 0 * [misc]none: (-9.568307378321542e-67 3.826389705571192e+305): 0 * [misc]none: (1945731255459.47 3.4149900413992998e-118): 0 * [misc]none: (-3.9457481405050707e-140 -3.8831186001124554e+177): 0 * [misc]none: (3.9566905915205435e+222 -4.045276803805828e+248): 1 * [misc]none: (2.0407374713985817e-67 6.798712177335776e+112): 0 * [misc]none: (-1.7506244038659656e+155 -5.551664099930396e+287): 1 * [misc]none: (1.622208144463601e-166 -8.556050344850203e+96): 0 * [misc]none: (-1.7889344297298395e-138 8.336613082028674e+83): 1 * [misc]none: (-5.612374503803972e+191 2.208377572236396e-264): 0 * [misc]none: (1.625924245506842e+101 3.6974324674576528e-196): 0 * [misc]none: (1.194352601301008e+170 -1.2990710049317618e+149): 0 * [misc]none: (-7.565112997028972e+159 1.1658351917668372e+172): 1 * [misc]none: (1.3349160645071676e+249 2.931040211928409e-256): 0 * [misc]none: (-2.439121548558237e-263 7.971191617216227e+278): 0 * [misc]none: (-5.16988167177608e+53 2.6969709464868204e+192): 0 * [misc]none: (-3.288801652693557e-126 -1.1724467728438874e+62): 0 * [misc]none: (2.4787821728961726e-208 -4.583226060750687e+286): 0 * [misc]none: (4.5505475745463453e+70 -4.7627047558420924e-178): 0 * [misc]none: (9.818158704343799e+98 1.0173157545581e-152): 0 * [misc]none: (-2.7755596952545536e+214 -6.937852684341488e-17): 0 * [misc]none: (-1.102805383752407e+91 -1.1833316978686804e-196): 0 * [misc]none: (-2.074828050091204e+43 -1.6730371273659853e+134): 0 * [misc]none: (7.03833207774333e+15 -1.3239959970038969e+98): 1 * [misc]none: (1.37725435443438e-133 2.7744697188841963e+109): 0 * [misc]none: (-6.937438758466827e-192 -3.3253159094181508e+99): 0 * [misc]none: (1.3198936947099211e-96 -1.5451834902703197e-42): 0 * [misc]none: (-1.7726057829102443e-75 2.332651968655402e-142): 0 * [misc]none: (-1.0504139891547427e+112 1.714387790028798e+53): 0 * [misc]none: (1.0835466360416472e+257 2.2433259629035416e-110): 0 * [misc]none: (-1.2604014885172566e-16 -3.533444382159577e+294): 0 * [misc]none: (4.163796059008999e+263 9.568517745632325e+214): 1 * [misc]none: (2.9372247799245325e+93 3.280888101399023e-178): 0 * [misc]none: (2.4645417753990825e-46 1.1531681692158285e+126): 0 * [misc]none: (-2.094542504845539e+96 3.658887962688304e-221): 0 * [misc]none: (-3194.11813336966 3.8921610463731365e-84): 0 * [misc]none: (-8.851204171241843e+281 -9.262519032529967e-34): 0 * [misc]none: (-1.785130886221006e+231 5.244418714777191e-247): 0 * [misc]none: (-1.1047298144911661e-128 -3.806792758567173e-77): 0 * [misc]none: (8.483535156875368e-302 -1.345613125533753e+279): 0 * [misc]none: (-1.8508777881935605e+151 -0.0006673038257262197): 0 * [misc]none: (2.8621091346925045e-294 1.532108192832722e+128): 0 * [misc]none: (-5.0502610074661083e+207 3.789685423350582e-08): 0 * [misc]none: (-1.2565837085170136e-39 1.762534146009323e+140): 0 * [misc]none: (9.107018310586045e+54 -2.971342031183356e+89): 0 * [misc]none: (-1.6718446752859893e+111 4.918436108504659e-301): 0 * [misc]none: (-2.0718283319643413e+202 -1.6194758145392415e-55): 0 * [misc]none: (1.6691081971097037e+94 -7.498270199484197e+128): 0 * [misc]none: (2.7394548302027227e-88 -3.8474489635359294e+91): 0 * [misc]none: (3.118009484335783e-104 -5.8304170084179074e-46): 0 * [misc]none: (-2.67503022703027e-297 -2.5128760687731143e+95): 0 * [misc]none: (8995869217554.457 -1.9632140373363783e+122): 0 * [misc]none: (2.01314860958205e-179 4.1821161712206335e+98): 0 * [misc]none: (-6.0258374336189325e+121 1.241885419647938e+111): 0 * [misc]none: (3.5248326356674874e-60 -185563564389128.0): 0 * [misc]none: (2.5937923840174148e+191 2.0634010725481968e+279): 1 * [misc]none: (-6.71288738518563e+35 -1.3468517163131261e+272): 0 * [misc]none: (3.7544706354148685e+249 -5.537735150627702e+213): 1 * [misc]none: (1.946944651699716e-139 6.333153678225876e-68): 0 * [misc]none: (8.70336562916574e-216 7.84549397492709e+169): 0 * [misc]none: (6363.313367940982 -1.977991260671615e-272): 1 * [misc]none: (7.762114448443534e+255 1.682179526351612e+60): 0 * [misc]none: (1.3399459123824423e-08 -2.0088395627297287e+293): 0 * [misc]none: (-2.0811417072211844e+239 -2.4464470346425223e-307): 0 * [misc]none: (-4.345326241698038e-278 5.823432666941199e+232): 0 * [misc]none: (-3.1969871529936574e+166 3.226368417375545e+273): 1 * [misc]none: (3.982342803919231e-46 -1.1442254260677068e-38): 1 * [misc]none: (-1.1682833194119885e+290 1.7119636201650242e-68): 0 * [misc]none: (5.22304174043592e-158 -3.807000870050907e+58): 0 * [misc]none: (-1.6925574577510237e+214 8.377477023109926e-106): 0 * [misc]none: (2.3080855823624493e-299 4.50326449267665e+246): 0 * [misc]none: (-1.3788511600691207e+143 -9.563665845262864e+134): 0 * [misc]none: (-4.34857343156037e+281 6.2285928439400495e+156): 1 * [misc]none: (0.002518103001908201 2.819308104709626e+146): 0 * [misc]none: (-4.0300440872978227e-184 1.4105181521169557e+85): 0 * [misc]none: Picked alt (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) in b * [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) (* (+ b a) (- b a))) 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 (* (+ b a) (- 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]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 (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (* -1 (pow a 2))) into (* -1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) in a * [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) (* (+ b a) (- b a))) 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 (* (+ b a) (- 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]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 (+ b 0) into b * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) in a * [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) (* (+ b a) (- b a))) 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 (* (+ b a) (- 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]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 (+ b 0) into b * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (* 1/2 (/ PI (pow b 2)))) 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]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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* b -1) (* 1 b)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 (pow b 2))))) 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 (+ (* 1 0) (* (- (/ 1 b)) (* 1/2 (/ PI (pow b 2))))) 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]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 (- (/ 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* 0 (/ 0 (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) * [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 (+ (* 1 (* 1/2 (/ PI (pow b 4)))) (+ (* (- (/ 1 b)) 0) (* 0 (* 1/2 (/ PI (pow b 2)))))) 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]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 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 (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))))) in b * [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 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) 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 b) (/ 1 a)) (- (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (* 1 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))) (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))))) in a * [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 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) 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 b) (/ 1 a)) (- (/ 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]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 (+ 0 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) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))))) in a * [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 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) 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 b) (/ 1 a)) (- (/ 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]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 (+ 0 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) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (* (- b) (* -1/2 PI)) 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 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)))) 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 (+ (* (- b) 0) (* 1 (* -1/2 PI))) 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 (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [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 (+ (* (- b) (- (* 1/2 (/ PI (pow b 2))))) (+ (* 1 0) (* 0 (* -1/2 PI)))) 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 (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))))) in b * [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 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) 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 (- b)) (/ 1 (- a))) (- (/ 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]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 0) into -1 * [misc]backup-simplify: Simplify (* -1 -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)))) (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))))) in a * [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 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) 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 (- b)) (/ 1 (- a))) (- (/ 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]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 (+ 0 -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) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))))) in a * [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 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) 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 (- b)) (/ 1 (- a))) (- (/ 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]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 (+ 0 -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) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b (* -1/2 PI)) 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 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) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 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 (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 b))) (* (- (/ 1 b)) 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 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 (- (+ (* (* -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 (+ (* b 0) (* -1 (* -1/2 PI))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) (- (/ 1 b))) (* 0 1))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ PI (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 (- (+ (* -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 (+ (* b (- (* 1/2 (/ PI (pow b 2))))) (+ (* -1 0) (* 0 (* -1/2 PI)))) 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 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (* (+ b a) (- b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ b a) (- b a))) 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 (* (+ b a) (- 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]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 (+ b 0) into b * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ b a) (- b a))) 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 (* (+ b a) (- 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]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 (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (* -1 (pow a 2))) into (* -1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ b a) (- b a))) 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 (* (+ b a) (- 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]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 (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (* -1 (pow a 2))) into (* -1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* -1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 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 (pow a 2) in a * [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 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* a 1) (* 1 (- a))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* -1/2 (/ PI (pow a 2))) (/ 0 (* -1 (pow a 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 1 1) (* 0 (- a)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* -1/2 (/ PI (pow a 2))) (/ 1 (* -1 (pow a 2)))) (* 0 (/ 0 (* -1 (pow a 2)))))) into (- (* 1/2 (/ PI (pow a 4)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [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 (- (/ 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 (- (/ 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 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) 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 b) (/ 1 a)) (- (/ 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]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 (+ 0 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) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) 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 b) (/ 1 a)) (- (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) 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 b) (/ 1 a)) (- (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (* 1 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 a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [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 (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 a))) (* (/ 1 a) 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) (- (/ 1 a))) (* 0 1))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 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 (pow a 2) in a * [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 (- (/ 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 (+ (* 1/2 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 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) 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 (- b)) (/ 1 (- a))) (- (/ 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]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 (+ 0 -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) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) 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 (- b)) (/ 1 (- a))) (- (/ 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]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 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) 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 (- b)) (/ 1 (- a))) (- (/ 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]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 0) into -1 * [misc]backup-simplify: Simplify (* -1 -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 a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [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 (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [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 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 a)) (* (- (/ 1 a)) -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 -1))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 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 (pow a 2) in a * [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 (- (/ 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 (+ (* 1/2 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: [ 3 / 3 ] generating series at (2 1) * [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 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 2 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ 1 a) (/ 1 b))) (- (log (/ PI 2)) (+ (log (+ b a)) (log (- b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (- (+ (log (- b a)) (log (+ b a))) (log (/ PI 2)))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (- (+ (log (- b a)) (log (+ b a))) (log (/ PI 2)))) * * * * [misc]progress: [ 4 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ 1 a) (/ 1 b))) (- (log (/ PI 2)) (log (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (+ (- (log (/ PI 2)) (log (* (+ b a) (- b a)))) (log (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (+ (- (log (/ PI 2)) (log (* (+ b a) (- b a)))) (log (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 5 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ 1 a) (/ 1 b))) (log (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (+ (log (/ (/ (/ PI 2) (+ b a)) (- b a))) (log (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (+ (log (/ (/ (/ PI 2) (+ b a)) (- b a))) (log (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 6 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (log (/ (/ (/ PI 2) (- b a)) (/ (+ b a) (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (log (/ (/ (/ PI 2) (- b a)) (/ (+ b a) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 7 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (pow (exp (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI 2) (- b a)) (+ b a))) * [exit]simplify: Simplified to (pow (exp (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI 2) (- b a)) (+ b a))) * * * * [misc]progress: [ 8 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (* (+ b a) (+ b a)) (+ b a)) (* (* (- b a) (- b a)) (- b a))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ PI 2) (+ b a)) (/ (/ PI 2) (+ b a))) (* (* (+ b a) (- b a)) (* (- b a) (- b a)))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (/ PI 2)))) * [exit]simplify: Simplified to (* (/ (* (/ (/ PI 2) (+ b a)) (/ (/ PI 2) (+ b a))) (* (* (+ b a) (- b a)) (* (- b a) (- b a)))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (/ PI 2)))) * * * * [misc]progress: [ 9 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (/ (* (* (* (/ PI 2) (/ PI 2)) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (/ (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (/ (/ PI 2) (* (+ b a) (- b a))))) * [exit]simplify: Simplified to (/ (* (* (* (/ PI 2) (/ PI 2)) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (/ (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (/ (/ PI 2) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 10 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (/ (/ PI 2) (* (+ b a) (- b a))) (/ (/ PI 2) (* (+ b a) (- b a)))) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (* (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (/ (/ (/ PI 2) (- b a)) (* (+ b a) (+ b a)))) (* (/ (/ PI 2) (* (+ b a) (- b a))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (* (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (/ (/ (/ PI 2) (- b a)) (* (+ b a) (+ b a)))) (* (/ (/ PI 2) (* (+ b a) (- b a))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 11 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) (cbrt (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (* (+ b a) 2) PI))) (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (* (+ b a) 2) PI)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (* (+ b a) 2) PI))) (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (* (+ b a) 2) PI)))) * [enter]simplify: Simplifying (cbrt (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (/ PI 2) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a))) * [exit]simplify: Simplified to (cbrt (/ (* (/ (/ PI 2) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 12 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (pow (* (/ PI 2) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) 3) * [exit]simplify: Simplified to (pow (* (/ PI 2) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) 3) * * * * [misc]progress: [ 13 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ (/ PI 2) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a))) * [exit]simplify: Simplified to (sqrt (/ (* (/ (/ PI 2) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (sqrt (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ (/ PI 2) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a))) * [exit]simplify: Simplified to (sqrt (/ (* (/ (/ PI 2) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 14 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 b) (* a 1)) (/ PI 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (- b a)) * [exit]simplify: Simplified to (* (/ PI 2) (- b a)) * [enter]simplify: Simplifying (* (* a b) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (* (* a (- b a)) (* (+ b a) b)) * [exit]simplify: Simplified to (* (* a (- b a)) (* (+ b a) b)) * * * * [misc]progress: [ 15 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (/ PI 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) (pow a 3)) (/ (/ PI 2) (pow b 3))) * [exit]simplify: Simplified to (- (/ (/ PI 2) (pow a 3)) (/ (/ PI 2) (pow b 3))) * [enter]simplify: Simplifying (* (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * [exit]simplify: Simplified to (* (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 a) a)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (* (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 a) a)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 16 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (+ (/ 1 b) (/ 1 a))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (+ (/ 1 b) (/ 1 a))) * [enter]simplify: Simplifying (* (+ (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (* (* (- b a) (+ b a)) (+ (/ 1 b) (/ 1 a))) * [exit]simplify: Simplified to (* (* (- b a) (+ b a)) (+ (/ 1 b) (/ 1 a))) * * * * [misc]progress: [ 17 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) (- (/ 1 a) (/ 1 b))) (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a)))) * [exit]simplify: Simplified to (* (* (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) (- (/ 1 a) (/ 1 b))) (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a)))) * * * * [misc]progress: [ 19 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (sqrt (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (sqrt (/ (/ (/ PI 2) (+ b a)) (- b a)))) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (sqrt (/ (/ (/ PI 2) (+ b a)) (- b a)))) * * * * [misc]progress: [ 20 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ PI 2)) (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI 2)) (+ b a))) * [exit]simplify: Simplified to (* (* (cbrt (/ PI 2)) (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI 2)) (+ b a))) * * * * [misc]progress: [ 21 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI 2)) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (/ PI 2)) (* (+ b a) a)) (/ (sqrt (/ PI 2)) (* (+ b a) b))) * [exit]simplify: Simplified to (- (/ (sqrt (/ PI 2)) (* (+ b a) a)) (/ (sqrt (/ PI 2)) (* (+ b a) b))) * * * * [misc]progress: [ 22 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ 1 (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 23 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * * * * [misc]progress: [ 24 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 25 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ PI 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 26 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (+ (pow a 3) (pow b 3))) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (+ (pow a 3) (pow b 3))) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) * * * * [misc]progress: [ 27 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (* (+ (pow a 3) (pow b 3)) (+ b a))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (* (+ (pow a 3) (pow b 3)) (+ b a))) * * * * [misc]progress: [ 28 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (- (* b b) (* a a)) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) * * * * [misc]progress: [ 29 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (- (* b b) (* a a)) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (* (+ b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (* (+ b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * * * [misc]progress: [ 30 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) * * * * [misc]progress: [ 31 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ (* (+ b a) 2) PI)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ (* (+ b a) 2) PI)) * * * * [misc]progress: [ 32 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (+ (pow a 3) (pow b 3))) (/ (/ PI 2) (- b a))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (+ (pow a 3) (pow b 3))) (/ (/ PI 2) (- b a))) * * * * [misc]progress: [ 33 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (- (* b b) (* a a)) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- b a)) (* (+ b a) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (/ (/ PI (- b a)) (* (+ b a) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 34 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (/ (- b a) (/ PI 2)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (/ (- b a) (/ PI 2)))) * * * * [misc]progress: [ 35 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (/ (- b a) (/ PI 2)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (/ (- b a) (/ PI 2)))) * * * * [misc]progress: [ 36 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 37 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (+ a b) (/ (/ PI 2) (- b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (+ a b) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 38 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 39 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 40 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 41 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 42 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ PI 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 43 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 b) (* a 1)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * * * * [misc]progress: [ 44 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (/ (/ PI 2) (- b a)) (+ a b))) * [exit]simplify: Simplified to (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (/ (/ PI 2) (- b a)) (+ a b))) * * * * [misc]progress: [ 45 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) (* (- b a) (/ (+ a b) (/ PI 2)))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) (* (- b a) (/ (+ a b) (/ PI 2)))) * * * * [misc]progress: [ 46 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI 2)) (+ (log (+ b a)) (log (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (349 enodes) * [exit]simplify: Simplified to (- (- (log (/ PI 2)) (log (- b a))) (log (+ b a))) * [exit]simplify: Simplified to (- (- (log (/ PI 2)) (log (- b a))) (log (+ b a))) * * * * [misc]progress: [ 49 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI 2)) (log (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (* (- b a) (+ b a)))) * * * * [misc]progress: [ 50 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (log (/ (/ (/ PI 2) (+ b a)) (- b a))) * [exit]simplify: Simplified to (log (/ (/ (/ PI 2) (+ b a)) (- b a))) * * * * [misc]progress: [ 51 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (exp (/ (/ (/ PI 2) (- b a)) (+ b a))) * [exit]simplify: Simplified to (exp (/ (/ (/ PI 2) (- b a)) (+ b a))) * * * * [misc]progress: [ 52 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (* (+ b a) (+ b a)) (+ b a)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (+ a b)) (pow (- b a) 3)) (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b)))) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (+ a b)) (pow (- b a) 3)) (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b)))) * * * * [misc]progress: [ 53 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (+ a b)) (- b a)) 3) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (+ a b)) (- b a)) 3) * * * * [misc]progress: [ 54 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a)))) * [enter]simplify: Simplifying (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI 2) (- b a)) (+ b a))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI 2) (- b a)) (+ b a))) * * * * [misc]progress: [ 55 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ PI 2) (* (+ b a) (- b a))) (/ (/ PI 2) (* (+ b a) (- b a)))) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (- b a)) (+ b a)) 3) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (- b a)) (+ b a)) 3) * * * * [misc]progress: [ 56 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) (- b a)) (+ b a))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) (- b a)) (+ b a))) * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) (- b a)) (+ b a))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) (- b a)) (+ b a))) * * * * [misc]progress: [ 57 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ PI 2)) * [exit]simplify: Simplified to (- (/ PI 2)) * [enter]simplify: Simplifying (- (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (* (- a b) (+ a b)) * [exit]simplify: Simplified to (* (- a b) (+ a b)) * * * * [misc]progress: [ 58 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (/ (+ a b) (cbrt (/ PI 2)))) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (/ (+ a b) (cbrt (/ PI 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (- b a)) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (- b a)) * * * * [misc]progress: [ 59 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (+ b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (+ b a)) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (- b a)) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (- b a)) * * * * [misc]progress: [ 60 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (/ PI 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * * * * [misc]progress: [ 61 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ PI (+ b a)) * [exit]simplify: Simplified to (/ PI (+ b a)) * [enter]simplify: Simplifying (/ (/ 1 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * * * * [misc]progress: [ 62 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (+ b a) (- b a))) * * [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 (59 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * * * * [misc]progress: [ 64 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (/ PI 2)) (+ a b)) * [exit]simplify: Simplified to (* (/ (- b a) (/ PI 2)) (+ a b)) * * * * [misc]progress: [ 65 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (+ b a)) * * [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) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * * * * [misc]progress: [ 66 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (/ PI 2))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (/ PI 2))) * * * * [misc]progress: [ 67 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (sqrt (/ PI 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (/ PI 2))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (/ PI 2))) * * * * [misc]progress: [ 68 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (/ PI 2)) (+ a b)) * [exit]simplify: Simplified to (* (/ (- b a) (/ PI 2)) (+ a b)) * * * * [misc]progress: [ 69 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (/ 1 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (* (* (- b a) (+ a b)) 2) * [exit]simplify: Simplified to (* (* (- b a) (+ a b)) 2) * * * * [misc]progress: [ 70 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) * [exit]simplify: Simplified to (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) * * * * [misc]progress: [ 71 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ (pow b 3) (pow a 3))) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ (pow b 3) (pow a 3))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 72 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (- (* b b) (* a a)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ PI 2) (+ a b)) (- (pow b 3) (pow a 3))) (- b a)) * [exit]simplify: Simplified to (/ (/ (/ (/ PI 2) (+ a b)) (- (pow b 3) (pow a 3))) (- b a)) * * * * [misc]progress: [ 73 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) * [exit]simplify: Simplified to (/ (/ PI 2) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) * * * * [misc]progress: [ 74 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (+ b a) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (474 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- (pow b 3) (pow a 3))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- (pow b 3) (pow a 3))) * * * * [misc]progress: [ 75 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- (* b b) (* a a))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- (* b b) (* a a))) * * * * [misc]progress: [ 76 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (+ (pow b 3) (pow a 3))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (+ (pow b 3) (pow a 3))) * * * * [misc]progress: [ 77 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (- (* b b) (* a a)) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 78 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ b a) (- b a)) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (* (+ a b) 2) (- b a)) * [exit]simplify: Simplified to (* (* (+ a b) 2) (- b a)) * * * * [misc]progress: [ 79 / 105 ] 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 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 80 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (log (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 82 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 83 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [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 (14 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 84 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (pow (- (/ 1 a) (/ 1 b)) 3) * [exit]simplify: Simplified to (pow (- (/ 1 a) (/ 1 b)) 3) * * * * [misc]progress: [ 85 / 105 ] 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 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [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 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 86 / 105 ] 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) * [exit]simplify: Simplified to (- b a) * [exit]simplify: Simplified to (- b a) * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* b a) * [exit]simplify: Simplified to (* b a) * * * * [misc]progress: [ 87 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) * [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 (110 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (+ (/ (+ (/ 1 b) (/ 1 a)) b) (* (/ 1 a) (/ 1 a))) * [exit]simplify: Simplified to (+ (/ (+ (/ 1 b) (/ 1 a)) b) (* (/ 1 a) (/ 1 a))) * * * * [misc]progress: [ 88 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 89 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 a) a) (/ (/ 1 b) b)) * [exit]simplify: Simplified to (- (/ (/ 1 a) a) (/ (/ 1 b) b)) * [enter]simplify: Simplifying (+ (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 b) (/ 1 a)) * [exit]simplify: Simplified to (+ (/ 1 b) (/ 1 a)) * * * * [misc]progress: [ 91 / 105 ] 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) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 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) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * * * [misc]progress: [ 92 / 105 ] 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 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 93 / 105 ] 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 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 94 / 105 ] 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 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 95 / 105 ] 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 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 96 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 97 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 98 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 99 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 100 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) 0) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 101 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) 0) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 102 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) 0) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 103 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 104 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 105 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 8 * [misc]none: All alts: 8 * [misc]none: Fresh alt: (λ (a b) (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))))) * [misc]none: Fresh alt: (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a))))) (+ b a))) * [misc]none: Fresh alt: (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))))) * [misc]none: Fresh alt: (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))) * [misc]none: Fresh alt: (λ (a b) (/ (/ (/ PI 2) (+ a b)) (* a b))) * [misc]none: Non-fresh alt: (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * [misc]none: Fresh alt: (λ (a b) (/ (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) (* (+ (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))) * [misc]none: Fresh alt: (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* a b) (* (+ b a) (- b a))))) * [misc]none: Fresh alt: (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))) * [misc]none: Fresh alt indexes * [misc]none: (λ (a b) (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))))): 0 * [misc]none: (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a))))) (+ b a))): 1 * [misc]none: (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))))): 2 * [misc]none: (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))): 3 * [misc]none: (λ (a b) (/ (/ (/ PI 2) (+ a b)) (* a b))): 4 * [misc]none: (λ (a b) (/ (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) (* (+ (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))): 5 * [misc]none: (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* a b) (* (+ b a) (- b a))))): 6 * [misc]none: (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))): 7 * [misc]none: Best fresh alt per point * [misc]none: (-1.5418757249344543e-63 -1.5808149525401404e+250): 0 * [misc]none: (3.027496459540811e+165 -1.2288638190895444e-91): 4 * [misc]none: (-1.9577524593014605e+255 2.4666697643039057e+135): 0 * [misc]none: (-9.953058197226308e-231 -1.6523309537219388e+292): 0 * [misc]none: (1.4077992202573094e+157 -1.6969785717566782e-186): 7 * [misc]none: (1.2222350343583978e+196 -1.4775843798497103e-226): 3 * [misc]none: (4.042918419768235e-293 -3.2304680091420593e+273): 3 * [misc]none: (-1.2948317804463169e-282 -2.8090151520671207e+163): 4 * [misc]none: (-3.464947738442053e-155 4.004060788521414e+101): 1 * [misc]none: (5.679811834757315e+283 -6.473810795939257e+164): 0 * [misc]none: (3.588388254213374e-229 -1139547812.809111): 7 * [misc]none: (4.890275917515567e-08 -5.005096670380054e+47): 3 * [misc]none: (-1.1716631781329626e-278 2.3982589341782892e+126): 0 * [misc]none: (-1.9903644617661157e-253 -2.385315376938663e+253): 3 * [misc]none: (1.6672558556111832e-132 -5.52786254698352e+123): 0 * [misc]none: (-3.3129658515159495e+106 -2.2098708111796672e-198): 3 * [misc]none: (-2.404284016476968e+279 1.233722688499856e-260): 7 * [misc]none: (-3.5028343458937535e-90 5.227910927587319e+245): 0 * [misc]none: (-63767.21419834566 -1.7606249358192524e+273): 0 * [misc]none: (267950632.53292695 5.624641690736252e-214): 2 * [misc]none: (8.322805913504859e+214 3.2616756987284277e-94): 0 * [misc]none: (5.772678079688886e-193 -6.744341629118722e+132): 4 * [misc]none: (6.954230926244437e-248 -8.888663579267588e+145): 3 * [misc]none: (-1.2824561231119317e-43 -5.084319674250709e+292): 0 * [misc]none: (1.2017614084255727e-118 2.163051204570009e+135): 3 * [misc]none: (-9.483463323409894e+83 1.3207468552144425e-275): 1 * [misc]none: (1.2439278636891217e+233 1.1524614864139226e-160): 3 * [misc]none: (1.5181493189729785e-210 2.5055367778394023e+168): 4 * [misc]none: (161620833577619.34 2.9543484210487e+68): 1 * [misc]none: (-4.0220565746330086e+125 -1.6011896215578737e-278): 0 * [misc]none: (-1.279384825639919e+218 -4.0734910927239613e+279): 0 * [misc]none: (4.849304008883996e+136 -1.9158965524986357e+21): 3 * [misc]none: (-1.0078494497283481e-63 -4.666260546447364e-94): 0 * [misc]none: (7.089677021982108e+243 5.396180940081133e+274): 0 * [misc]none: (-1.0374694539724338e-22 3.1474503815022313e+156): 4 * [misc]none: (2.237363577109642e+74 1.6588937679962464e-112): 4 * [misc]none: (3.192528639732453e+177 -5.90661572185385e+255): 0 * [misc]none: (-4.3665826438370466e+132 -1.0295936791749538e-299): 0 * [misc]none: (-2.3878879079615316e+176 -2.7604299366199517e-300): 4 * [misc]none: (-7.185580883046913e-107 -9.568148082725508e-90): 3 * [misc]none: (1.8269212298308998e+214 1789977963981.046): 0 * [misc]none: (-1.7899154283931006e-62 1.6281717766697912e+39): 0 * [misc]none: (3.5243641367880456e+86 -3.0008256032154172e-176): 1 * [misc]none: (-7.986330642950897e-117 1.1611754700502491e-55): 1 * [misc]none: (8.728226238434233e-64 -1.6133455999823373e+110): 3 * [misc]none: (-3.9890484917100117e+257 -1.5117832743647305e-21): 0 * [misc]none: (-4.026134204708055e+160 2.281413649637054e-166): 7 * [misc]none: (-1.65054043818576e-39 -1.0058709145515093e+290): 0 * [misc]none: (-0.15058815983267834 3.714800492587865e+85): 0 * [misc]none: (-4.7089063680709754e+260 4.344802098601123e-298): 3 * [misc]none: (4.508329239962989e+257 -1.211264682641895e-292): 3 * [misc]none: (1.0495684746531957e+167 2.721003254105153e-81): 3 * [misc]none: (-3.0671153252781823e-63 -7.74362334743424e+32): 1 * [misc]none: (-2.2376851712564295e-118 1.64239269831532e+149): 0 * [misc]none: (-1.576948173228613e+33 9.680698928511806e-32): 0 * [misc]none: (1.954959341132994e-252 -7.83347153590065e-06): 1 * [misc]none: (5.521334390623478e-06 -3.229654932887624e+201): 0 * [misc]none: (-9.906575581428813e+195 7.10957194421701e+200): 0 * [misc]none: (-4.7756557550151386e+160 2.4256946179069016e+78): 0 * [misc]none: (6.207394963032113e+30 -7.218692088264328e+54): 0 * [misc]none: (8.781920275794267e+61 3.5618749791650757e+87): 3 * [misc]none: (4.9372470656494625e-201 1.4446355009900792e+23): 1 * [misc]none: (-3.5082856951249954e-122 9.917487178181935e-54): 3 * [misc]none: (-7.01049497494046e-138 3.841494064694043e+276): 0 * [misc]none: (3.642806409692576e+70 -3.326243684234595e+241): 0 * [misc]none: (-7.587678445119084e+247 1.518078533135906e+61): 0 * [misc]none: (1.5052438492777668e+214 1.5460201380138582e-108): 3 * [misc]none: (6.354924490516637e-174 1.1935837539207151e+36): 3 * [misc]none: (-1.6901036379481523e+68 5.558607723763576e+296): 0 * [misc]none: (-5129.844514220037 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1.0713666056080785e-84): 0 * [misc]none: (-1.4481584190101499e-109 1.8890847145741933e+54): 7 * [misc]none: (5.334416108525731e+103 8.243928876632343e+120): 0 * [misc]none: (4.915746009665795e+153 -1.2716911445748643e-294): 0 * [misc]none: (-1.178199525484178e+291 -2.616452914461827e+123): 0 * [misc]none: (-1.3552545859518693e-149 1.0769411808120101e+237): 0 * [misc]none: (2.7212207505395135e+138 -1.7192030807828345e+260): 0 * [misc]none: (-3.070590530502344e+254 4.3361011341035273e+108): 0 * [misc]none: (-7.078347720981057e+296 -1.1633032638785635e+290): 0 * [misc]none: (-2.3832835734274537e-77 -2.0550237535049573e-58): 1 * [misc]none: (3.3652051120813564e-167 -1.6071108269264857e+240): 3 * [misc]none: (-7.605291673043568e+86 1.3555181915244097e+58): 4 * [misc]none: (5.535572593369702e+234 1.1281253812481777e-05): 0 * [misc]none: (-7.875416682732296e+153 2.953059473116585e-77): 2 * [misc]none: (-1.7943678282584236e+305 -8.253144371362014e+269): 0 * [misc]none: (1.6962188327979892e+156 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4.360233270161975e+69): 1 * [misc]none: (-1.2973858626691246e+248 -1.3038350073216301e+175): 0 * [misc]none: (-3.1670246594447204e-244 -4.944977315465704e+134): 4 * [misc]none: (5.338353252944482e+295 2.475773952907049e-271): 3 * [misc]none: (5.261531518469373e-290 2.555657911489638e+100): 3 * [misc]none: (2.1545947154827896e+229 2.6209188754640728e+107): 0 * [misc]none: (1.0367654190214238e+155 7.510167254913154e-75): 4 * [misc]none: (-1.879438806525893e-17 -2.2458375637103902e-132): 1 * [misc]none: (-9.791675790911144e+50 5.462119320563526e+16): 4 * [misc]none: (-7.461408405072584e-11 2.819362408294866e+247): 0 * [misc]none: (5.576422555370537e+229 -1.2634592988240547e+184): 0 * [misc]none: (-2.046312445248254e+167 -2.5768688170454604e-166): 3 * [misc]none: (-2.3695265370701153e-160 5.627370989949808e+102): 1 * [misc]none: (1.268161462925599e-223 1.8558602765266175e+154): 7 * [misc]none: (-3.8061627632242695e+220 1.4601547257514377e-37): 0 * [misc]none: (6.851358071879168e+277 -1.4026731237337527e+299): 0 * [misc]none: (-1.8322924530722165e+176 2.6481468427206757e-89): 4 * [misc]none: (1.8304705420573128e+300 5.162437418074754e-216): 0 * [misc]none: (5.884862647618943e+102 1.3917287586797797e+215): 0 * [misc]none: (-1.9484215729108895e+208 2.7534373406057187e+274): 0 * [misc]none: (-6.754823491493555e-24 -2.4266153803656513e-110): 4 * [misc]none: (2.802805856656922e+299 3267744482859.4893): 0 * [misc]none: (-2.125403821003621e+259 -5.821161027096475e-49): 0 * [misc]none: (-2.4642361000377723e+179 -223338690.5739434): 0 * [misc]none: (2.617385806499904e-208 6.454193966659965e-12): 1 * [misc]none: (1.2843486366644783e+218 1.6598105327534946e+245): 0 * [misc]none: (-2.2565106546246065e+111 -8.921793657844595e+241): 0 * [misc]none: (-1.2504926677350782e+286 2142884768423.9766): 0 * [misc]none: (6.352964037059704e-48 2.0675888684205106e-37): 4 * [misc]none: (1.7860466700053246e+179 -2.1540953112813662e-178): 4 * [misc]none: (-1.1984894069610523e-255 2.286904329311883e+176): 4 * [misc]none: (-3.0869297245392077e+307 -7.242911167116891e-28): 0 * [misc]none: (-3.652961257321153e+269 -1.981435962910265e-248): 3 * [misc]none: (1.434478809327731e-162 1.7673263201240207e+200): 3 * [misc]none: (4.1358060479750856e+163 2.77377213114978e+181): 0 * [misc]none: (1.5437232098269186e+160 -5.1984298768145166e+116): 0 * [misc]none: (-1.2768311469464077e-95 -4.0802892718556596e+97): 5 * [misc]none: (-4.502005664483894e-90 -1.3669353810280968e+130): 6 * [misc]none: (3.5925206879521377e-169 -1.3877894503805502e+162): 3 * [misc]none: (3.851639943546658e-220 7.262940842293714e+141): 2 * [misc]none: (1.5786239562667337e+192 -1.646250865837071e-08): 0 * [misc]none: (1175954691713314.2 1.6505576250215693e+254): 0 * [misc]none: (-8.454483141733306e+289 3.2999709724191907e-111): 0 * [misc]none: (-6.317430000587058e+24 -4.671984247068368e+114): 4 * [misc]none: (-2.9619260441588295e+211 -7.22878673519174e-279): 4 * [misc]none: (-3.759430214395936e-120 -1.445629235880647e+140): 4 * [misc]none: (2.1262474173228004e+275 2.0609285567281652e-241): 3 * [misc]none: (1.9640202737101926e+158 4.0355590295024944e+30): 0 * [misc]none: (-3.1297081963080297e-242 8.94051254019841e+73): 1 * [misc]none: (-1.0418876601412776e+158 1.334212127520659e-194): 4 * [misc]none: (2.3042294780211474e+199 -0.1449571473562267): 0 * [misc]none: (-1.322393042309631e-287 331.0762921520269): 4 * [misc]none: (2.486727752761897e+186 6.1692613790114145e-176): 4 * [misc]none: (1.6628640493696272e+86 -1.5025592441357432e-91): 4 * [misc]none: (2.3621708607435707e+306 -2.12081898299509e-251): 0 * [misc]none: (-4.444969967255464e-50 -7.309457855467372e+172): 3 * [misc]none: (-5.496412463214942e+159 -1.4721600470373534e-29): 3 * [misc]none: (-3.123985774571585e+305 4.3713778543032466e+80): 0 * [misc]none: (9.77689775396416e+270 -3.9142022803361806e-187): 0 * [misc]none: (-5.65740503188699e+260 5.701436151254667e-51): 0 * [misc]none: (-4.0509904466518765e-37 -6.2678543781187986e-158): 4 * [misc]none: (2.6870891996869854e+222 1.403842517343178e+239): 0 * [misc]none: (-4.523272375047282e+19 -3.133147621079016e+299): 0 * [misc]none: (-3.1263201082196465e-277 4.562606033317646e+142): 3 * [misc]none: (2.1157410136365666e+27 1.7344997138936077e-42): 6 * [misc]none: (-3.913559470208424e-83 -2.9867969528063676e+265): 0 * [misc]none: (3.0173777232564683e+257 1.4365336082533024e-65): 0 * [misc]none: (7.3222795686052666e+50 -9.290387573799883e-227): 1 * [misc]none: (-9.568307378321542e-67 3.826389705571192e+305): 0 * [misc]none: (1945731255459.47 3.4149900413992998e-118): 3 * [misc]none: (-3.9457481405050707e-140 -3.8831186001124554e+177): 3 * [misc]none: (3.9566905915205435e+222 -4.045276803805828e+248): 0 * [misc]none: (2.0407374713985817e-67 6.798712177335776e+112): 2 * [misc]none: (-1.7506244038659656e+155 -5.551664099930396e+287): 0 * [misc]none: (1.622208144463601e-166 -8.556050344850203e+96): 3 * [misc]none: (-1.7889344297298395e-138 8.336613082028674e+83): 1 * [misc]none: (-5.612374503803972e+191 2.208377572236396e-264): 3 * [misc]none: (1.625924245506842e+101 3.6974324674576528e-196): 1 * [misc]none: (1.194352601301008e+170 -1.2990710049317618e+149): 0 * [misc]none: (-7.565112997028972e+159 1.1658351917668372e+172): 0 * [misc]none: (1.3349160645071676e+249 2.931040211928409e-256): 3 * [misc]none: (-2.439121548558237e-263 7.971191617216227e+278): 3 * [misc]none: (-5.16988167177608e+53 2.6969709464868204e+192): 0 * [misc]none: (-3.288801652693557e-126 -1.1724467728438874e+62): 0 * [misc]none: (2.4787821728961726e-208 -4.583226060750687e+286): 0 * [misc]none: (4.5505475745463453e+70 -4.7627047558420924e-178): 0 * [misc]none: (9.818158704343799e+98 1.0173157545581e-152): 2 * [misc]none: (-2.7755596952545536e+214 -6.937852684341488e-17): 0 * [misc]none: (-1.102805383752407e+91 -1.1833316978686804e-196): 3 * [misc]none: (-2.074828050091204e+43 -1.6730371273659853e+134): 0 * [misc]none: (7.03833207774333e+15 -1.3239959970038969e+98): 4 * [misc]none: (1.37725435443438e-133 2.7744697188841963e+109): 3 * [misc]none: (-6.937438758466827e-192 -3.3253159094181508e+99): 1 * [misc]none: (1.3198936947099211e-96 -1.5451834902703197e-42): 3 * [misc]none: (-1.7726057829102443e-75 2.332651968655402e-142): 2 * [misc]none: (-1.0504139891547427e+112 1.714387790028798e+53): 5 * [misc]none: (1.0835466360416472e+257 2.2433259629035416e-110): 0 * [misc]none: (-1.2604014885172566e-16 -3.533444382159577e+294): 0 * [misc]none: (4.163796059008999e+263 9.568517745632325e+214): 0 * [misc]none: (2.9372247799245325e+93 3.280888101399023e-178): 0 * [misc]none: (2.4645417753990825e-46 1.1531681692158285e+126): 4 * [misc]none: (-2.094542504845539e+96 3.658887962688304e-221): 3 * [misc]none: (-3194.11813336966 3.8921610463731365e-84): 1 * [misc]none: (-8.851204171241843e+281 -9.262519032529967e-34): 0 * [misc]none: (-1.785130886221006e+231 5.244418714777191e-247): 3 * [misc]none: (-1.1047298144911661e-128 -3.806792758567173e-77): 2 * [misc]none: (8.483535156875368e-302 -1.345613125533753e+279): 3 * [misc]none: (-1.8508777881935605e+151 -0.0006673038257262197): 2 * [misc]none: (2.8621091346925045e-294 1.532108192832722e+128): 7 * [misc]none: (-5.0502610074661083e+207 3.789685423350582e-08): 0 * [misc]none: (-1.2565837085170136e-39 1.762534146009323e+140): 4 * [misc]none: (9.107018310586045e+54 -2.971342031183356e+89): 7 * [misc]none: (-1.6718446752859893e+111 4.918436108504659e-301): 3 * [misc]none: (-2.0718283319643413e+202 -1.6194758145392415e-55): 0 * [misc]none: (1.6691081971097037e+94 -7.498270199484197e+128): 0 * [misc]none: (2.7394548302027227e-88 -3.8474489635359294e+91): 3 * [misc]none: (3.118009484335783e-104 -5.8304170084179074e-46): 2 * [misc]none: (-2.67503022703027e-297 -2.5128760687731143e+95): 0 * [misc]none: (8995869217554.457 -1.9632140373363783e+122): 5 * [misc]none: (2.01314860958205e-179 4.1821161712206335e+98): 0 * [misc]none: (-6.0258374336189325e+121 1.241885419647938e+111): 0 * [misc]none: (3.5248326356674874e-60 -185563564389128.0): 0 * [misc]none: (2.5937923840174148e+191 2.0634010725481968e+279): 0 * [misc]none: (-6.71288738518563e+35 -1.3468517163131261e+272): 0 * [misc]none: (3.7544706354148685e+249 -5.537735150627702e+213): 0 * [misc]none: (1.946944651699716e-139 6.333153678225876e-68): 0 * [misc]none: (8.70336562916574e-216 7.84549397492709e+169): 3 * [misc]none: (6363.313367940982 -1.977991260671615e-272): 1 * [misc]none: (7.762114448443534e+255 1.682179526351612e+60): 0 * [misc]none: (1.3399459123824423e-08 -2.0088395627297287e+293): 0 * [misc]none: (-2.0811417072211844e+239 -2.4464470346425223e-307): 3 * [misc]none: (-4.345326241698038e-278 5.823432666941199e+232): 4 * [misc]none: (-3.1969871529936574e+166 3.226368417375545e+273): 0 * [misc]none: (3.982342803919231e-46 -1.1442254260677068e-38): 3 * [misc]none: (-1.1682833194119885e+290 1.7119636201650242e-68): 0 * [misc]none: (5.22304174043592e-158 -3.807000870050907e+58): 4 * [misc]none: (-1.6925574577510237e+214 8.377477023109926e-106): 3 * [misc]none: (2.3080855823624493e-299 4.50326449267665e+246): 3 * [misc]none: (-1.3788511600691207e+143 -9.563665845262864e+134): 0 * [misc]none: (-4.34857343156037e+281 6.2285928439400495e+156): 0 * [misc]none: (0.002518103001908201 2.819308104709626e+146): 0 * [misc]none: (-4.0300440872978227e-184 1.4105181521169557e+85): 0 * [misc]none: All alt indexes * [misc]none: (λ (a b) (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))))): 0 * [misc]none: (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a))))) (+ b a))): 1 * [misc]none: (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))))): 2 * [misc]none: (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))): 3 * [misc]none: (λ (a b) (/ (/ (/ PI 2) (+ a b)) (* a b))): 4 * [misc]none: (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))): 5 * [misc]none: (λ (a b) (/ (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) (* (+ (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))): 6 * [misc]none: (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* a b) (* (+ b a) (- b a))))): 7 * [misc]none: (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))): 8 * [misc]none: Best alt per point * [misc]none: (-1.5418757249344543e-63 -1.5808149525401404e+250): 0 * [misc]none: (3.027496459540811e+165 -1.2288638190895444e-91): 4 * [misc]none: (-1.9577524593014605e+255 2.4666697643039057e+135): 0 * [misc]none: (-9.953058197226308e-231 -1.6523309537219388e+292): 0 * [misc]none: (1.4077992202573094e+157 -1.6969785717566782e-186): 8 * [misc]none: (1.2222350343583978e+196 -1.4775843798497103e-226): 3 * [misc]none: (4.042918419768235e-293 -3.2304680091420593e+273): 3 * [misc]none: (-1.2948317804463169e-282 -2.8090151520671207e+163): 4 * [misc]none: (-3.464947738442053e-155 4.004060788521414e+101): 1 * [misc]none: (5.679811834757315e+283 -6.473810795939257e+164): 0 * [misc]none: (3.588388254213374e-229 -1139547812.809111): 8 * [misc]none: (4.890275917515567e-08 -5.005096670380054e+47): 3 * [misc]none: (-1.1716631781329626e-278 2.3982589341782892e+126): 0 * [misc]none: (-1.9903644617661157e-253 -2.385315376938663e+253): 3 * [misc]none: (1.6672558556111832e-132 -5.52786254698352e+123): 0 * [misc]none: (-3.3129658515159495e+106 -2.2098708111796672e-198): 3 * [misc]none: (-2.404284016476968e+279 1.233722688499856e-260): 8 * [misc]none: (-3.5028343458937535e-90 5.227910927587319e+245): 0 * [misc]none: (-63767.21419834566 -1.7606249358192524e+273): 0 * [misc]none: (267950632.53292695 5.624641690736252e-214): 2 * [misc]none: (8.322805913504859e+214 3.2616756987284277e-94): 0 * [misc]none: (5.772678079688886e-193 -6.744341629118722e+132): 4 * [misc]none: (6.954230926244437e-248 -8.888663579267588e+145): 3 * [misc]none: (-1.2824561231119317e-43 -5.084319674250709e+292): 0 * [misc]none: (1.2017614084255727e-118 2.163051204570009e+135): 3 * [misc]none: (-9.483463323409894e+83 1.3207468552144425e-275): 1 * [misc]none: (1.2439278636891217e+233 1.1524614864139226e-160): 3 * [misc]none: (1.5181493189729785e-210 2.5055367778394023e+168): 4 * [misc]none: (161620833577619.34 2.9543484210487e+68): 1 * [misc]none: (-4.0220565746330086e+125 -1.6011896215578737e-278): 0 * [misc]none: (-1.279384825639919e+218 -4.0734910927239613e+279): 0 * [misc]none: (4.849304008883996e+136 -1.9158965524986357e+21): 3 * [misc]none: (-1.0078494497283481e-63 -4.666260546447364e-94): 0 * [misc]none: (7.089677021982108e+243 5.396180940081133e+274): 0 * [misc]none: (-1.0374694539724338e-22 3.1474503815022313e+156): 4 * [misc]none: (2.237363577109642e+74 1.6588937679962464e-112): 4 * [misc]none: (3.192528639732453e+177 -5.90661572185385e+255): 0 * [misc]none: (-4.3665826438370466e+132 -1.0295936791749538e-299): 0 * [misc]none: (-2.3878879079615316e+176 -2.7604299366199517e-300): 4 * [misc]none: (-7.185580883046913e-107 -9.568148082725508e-90): 3 * [misc]none: (1.8269212298308998e+214 1789977963981.046): 0 * [misc]none: (-1.7899154283931006e-62 1.6281717766697912e+39): 0 * [misc]none: (3.5243641367880456e+86 -3.0008256032154172e-176): 1 * [misc]none: (-7.986330642950897e-117 1.1611754700502491e-55): 1 * [misc]none: (8.728226238434233e-64 -1.6133455999823373e+110): 3 * [misc]none: (-3.9890484917100117e+257 -1.5117832743647305e-21): 0 * [misc]none: (-4.026134204708055e+160 2.281413649637054e-166): 8 * [misc]none: (-1.65054043818576e-39 -1.0058709145515093e+290): 0 * [misc]none: (-0.15058815983267834 3.714800492587865e+85): 0 * [misc]none: (-4.7089063680709754e+260 4.344802098601123e-298): 3 * [misc]none: (4.508329239962989e+257 -1.211264682641895e-292): 3 * [misc]none: (1.0495684746531957e+167 2.721003254105153e-81): 3 * [misc]none: (-3.0671153252781823e-63 -7.74362334743424e+32): 1 * [misc]none: (-2.2376851712564295e-118 1.64239269831532e+149): 0 * [misc]none: (-1.576948173228613e+33 9.680698928511806e-32): 0 * [misc]none: (1.954959341132994e-252 -7.83347153590065e-06): 1 * [misc]none: (5.521334390623478e-06 -3.229654932887624e+201): 0 * [misc]none: (-9.906575581428813e+195 7.10957194421701e+200): 0 * [misc]none: (-4.7756557550151386e+160 2.4256946179069016e+78): 0 * [misc]none: (6.207394963032113e+30 -7.218692088264328e+54): 0 * [misc]none: (8.781920275794267e+61 3.5618749791650757e+87): 3 * [misc]none: (4.9372470656494625e-201 1.4446355009900792e+23): 1 * [misc]none: (-3.5082856951249954e-122 9.917487178181935e-54): 3 * [misc]none: (-7.01049497494046e-138 3.841494064694043e+276): 0 * [misc]none: (3.642806409692576e+70 -3.326243684234595e+241): 0 * [misc]none: (-7.587678445119084e+247 1.518078533135906e+61): 0 * [misc]none: (1.5052438492777668e+214 1.5460201380138582e-108): 3 * [misc]none: (6.354924490516637e-174 1.1935837539207151e+36): 3 * [misc]none: (-1.6901036379481523e+68 5.558607723763576e+296): 0 * [misc]none: (-5129.844514220037 -8.518839978003416e+199): 0 * [misc]none: (5.0618502549145104e+216 -2.0899529309308688e-173): 3 * [misc]none: (-1.3078423091955545e+95 8.726419779901594e-156): 1 * [misc]none: (1.5484790382727637e+258 2.2758369496030736e+44): 0 * [misc]none: (2.7646272679971947e+138 1.8029164814151534e-305): 3 * [misc]none: (-8.140052952226443e-29 -3.868827374468717e+273): 0 * [misc]none: (-9.30868828487235e-242 7.865810923274834e+251): 3 * [misc]none: (-1.977339157633397e-22 -12396.634829186376): 6 * [misc]none: (2.0737883409435182e-60 8.938208620266642e-81): 1 * [misc]none: (-1.0125994980022202e+121 9.949795070357293e-13): 0 * [misc]none: (3.9753155304068916e+192 -1.5751944823937151e-208): 3 * [misc]none: (-5.711690539427335e-292 2.0698086438592394e+99): 0 * [misc]none: (8.149794087375897e+77 1.4399038101240658e-157): 5 * [misc]none: (-0.0033935472374883513 -1.873060887288803e+204): 0 * [misc]none: (6.486236446634097e-143 -6.777569686362558e+23): 0 * [misc]none: (-3.976258322985434e+241 1.0713666056080785e-84): 0 * [misc]none: (-1.4481584190101499e-109 1.8890847145741933e+54): 5 * [misc]none: (5.334416108525731e+103 8.243928876632343e+120): 0 * [misc]none: (4.915746009665795e+153 -1.2716911445748643e-294): 0 * [misc]none: (-1.178199525484178e+291 -2.616452914461827e+123): 0 * [misc]none: (-1.3552545859518693e-149 1.0769411808120101e+237): 0 * [misc]none: (2.7212207505395135e+138 -1.7192030807828345e+260): 0 * [misc]none: (-3.070590530502344e+254 4.3361011341035273e+108): 0 * [misc]none: (-7.078347720981057e+296 -1.1633032638785635e+290): 0 * [misc]none: (-2.3832835734274537e-77 -2.0550237535049573e-58): 1 * [misc]none: (3.3652051120813564e-167 -1.6071108269264857e+240): 3 * [misc]none: (-7.605291673043568e+86 1.3555181915244097e+58): 4 * [misc]none: (5.535572593369702e+234 1.1281253812481777e-05): 0 * [misc]none: (-7.875416682732296e+153 2.953059473116585e-77): 2 * [misc]none: (-1.7943678282584236e+305 -8.253144371362014e+269): 0 * [misc]none: (1.6962188327979892e+156 -3.0357430466827192e+202): 0 * [misc]none: (7.526837789610841e+223 -1.0160940285787676e+119): 0 * [misc]none: (-4.474252265840201e+73 1.3833425279814779e+61): 1 * [misc]none: (-4.807303049624254e-15 1.8641906072853124e-122): 1 * [misc]none: (1.5464847509065313e+116 -7.218711869488973e-243): 2 * [misc]none: (-587327855578134.2 -3.1846212263600816e-18): 1 * [misc]none: (4.242186305736945e+277 7.288958178428041e-256): 3 * [misc]none: (5.409384226193089e+76 -2.319372457341872e-287): 3 * [misc]none: (4.187380162585325e-193 -1.32843112383632e+222): 3 * [misc]none: (-1.1299275128362188e+120 6.659322155044152e+223): 0 * [misc]none: (-2.5903554766194963e+287 -7.84381588726745e-44): 0 * [misc]none: (2.623583837461381e+148 -4.810065069789271e-38): 3 * [misc]none: (1.6579472731822137e+209 7.148125858281279e-128): 4 * [misc]none: (-1.1410424941898917e-307 -7.884101440606108e+43): 5 * [misc]none: (3.2782900783384907e+260 1.2654023023741973e+87): 0 * [misc]none: (5.3297020297971135e-251 4.360233270161975e+69): 1 * [misc]none: (-1.2973858626691246e+248 -1.3038350073216301e+175): 0 * [misc]none: (-3.1670246594447204e-244 -4.944977315465704e+134): 4 * [misc]none: (5.338353252944482e+295 2.475773952907049e-271): 3 * [misc]none: (5.261531518469373e-290 2.555657911489638e+100): 3 * [misc]none: (2.1545947154827896e+229 2.6209188754640728e+107): 0 * [misc]none: (1.0367654190214238e+155 7.510167254913154e-75): 4 * [misc]none: (-1.879438806525893e-17 -2.2458375637103902e-132): 1 * [misc]none: (-9.791675790911144e+50 5.462119320563526e+16): 4 * [misc]none: (-7.461408405072584e-11 2.819362408294866e+247): 0 * [misc]none: (5.576422555370537e+229 -1.2634592988240547e+184): 0 * [misc]none: (-2.046312445248254e+167 -2.5768688170454604e-166): 3 * [misc]none: (-2.3695265370701153e-160 5.627370989949808e+102): 1 * [misc]none: (1.268161462925599e-223 1.8558602765266175e+154): 8 * [misc]none: (-3.8061627632242695e+220 1.4601547257514377e-37): 0 * [misc]none: (6.851358071879168e+277 -1.4026731237337527e+299): 0 * [misc]none: (-1.8322924530722165e+176 2.6481468427206757e-89): 4 * [misc]none: (1.8304705420573128e+300 5.162437418074754e-216): 0 * [misc]none: (5.884862647618943e+102 1.3917287586797797e+215): 0 * [misc]none: (-1.9484215729108895e+208 2.7534373406057187e+274): 0 * [misc]none: (-6.754823491493555e-24 -2.4266153803656513e-110): 4 * [misc]none: (2.802805856656922e+299 3267744482859.4893): 0 * [misc]none: (-2.125403821003621e+259 -5.821161027096475e-49): 0 * [misc]none: (-2.4642361000377723e+179 -223338690.5739434): 0 * [misc]none: (2.617385806499904e-208 6.454193966659965e-12): 1 * [misc]none: (1.2843486366644783e+218 1.6598105327534946e+245): 0 * [misc]none: (-2.2565106546246065e+111 -8.921793657844595e+241): 0 * [misc]none: (-1.2504926677350782e+286 2142884768423.9766): 0 * [misc]none: (6.352964037059704e-48 2.0675888684205106e-37): 4 * [misc]none: (1.7860466700053246e+179 -2.1540953112813662e-178): 4 * [misc]none: (-1.1984894069610523e-255 2.286904329311883e+176): 4 * [misc]none: (-3.0869297245392077e+307 -7.242911167116891e-28): 0 * [misc]none: (-3.652961257321153e+269 -1.981435962910265e-248): 3 * [misc]none: (1.434478809327731e-162 1.7673263201240207e+200): 3 * [misc]none: (4.1358060479750856e+163 2.77377213114978e+181): 0 * [misc]none: (1.5437232098269186e+160 -5.1984298768145166e+116): 0 * [misc]none: (-1.2768311469464077e-95 -4.0802892718556596e+97): 6 * [misc]none: (-4.502005664483894e-90 -1.3669353810280968e+130): 7 * [misc]none: (3.5925206879521377e-169 -1.3877894503805502e+162): 3 * [misc]none: (3.851639943546658e-220 7.262940842293714e+141): 2 * [misc]none: (1.5786239562667337e+192 -1.646250865837071e-08): 0 * [misc]none: (1175954691713314.2 1.6505576250215693e+254): 0 * [misc]none: (-8.454483141733306e+289 3.2999709724191907e-111): 0 * [misc]none: (-6.317430000587058e+24 -4.671984247068368e+114): 4 * [misc]none: (-2.9619260441588295e+211 -7.22878673519174e-279): 4 * [misc]none: (-3.759430214395936e-120 -1.445629235880647e+140): 4 * [misc]none: (2.1262474173228004e+275 2.0609285567281652e-241): 3 * [misc]none: (1.9640202737101926e+158 4.0355590295024944e+30): 0 * [misc]none: (-3.1297081963080297e-242 8.94051254019841e+73): 1 * [misc]none: (-1.0418876601412776e+158 1.334212127520659e-194): 4 * [misc]none: (2.3042294780211474e+199 -0.1449571473562267): 0 * [misc]none: (-1.322393042309631e-287 331.0762921520269): 4 * [misc]none: (2.486727752761897e+186 6.1692613790114145e-176): 4 * [misc]none: (1.6628640493696272e+86 -1.5025592441357432e-91): 4 * [misc]none: (2.3621708607435707e+306 -2.12081898299509e-251): 0 * [misc]none: (-4.444969967255464e-50 -7.309457855467372e+172): 3 * [misc]none: (-5.496412463214942e+159 -1.4721600470373534e-29): 3 * [misc]none: (-3.123985774571585e+305 4.3713778543032466e+80): 0 * [misc]none: (9.77689775396416e+270 -3.9142022803361806e-187): 0 * [misc]none: (-5.65740503188699e+260 5.701436151254667e-51): 0 * [misc]none: (-4.0509904466518765e-37 -6.2678543781187986e-158): 4 * [misc]none: (2.6870891996869854e+222 1.403842517343178e+239): 0 * [misc]none: (-4.523272375047282e+19 -3.133147621079016e+299): 0 * [misc]none: (-3.1263201082196465e-277 4.562606033317646e+142): 3 * [misc]none: (2.1157410136365666e+27 1.7344997138936077e-42): 7 * [misc]none: (-3.913559470208424e-83 -2.9867969528063676e+265): 0 * [misc]none: (3.0173777232564683e+257 1.4365336082533024e-65): 0 * [misc]none: (7.3222795686052666e+50 -9.290387573799883e-227): 1 * [misc]none: (-9.568307378321542e-67 3.826389705571192e+305): 0 * [misc]none: (1945731255459.47 3.4149900413992998e-118): 3 * [misc]none: (-3.9457481405050707e-140 -3.8831186001124554e+177): 3 * [misc]none: (3.9566905915205435e+222 -4.045276803805828e+248): 0 * [misc]none: (2.0407374713985817e-67 6.798712177335776e+112): 2 * [misc]none: (-1.7506244038659656e+155 -5.551664099930396e+287): 0 * [misc]none: (1.622208144463601e-166 -8.556050344850203e+96): 3 * [misc]none: (-1.7889344297298395e-138 8.336613082028674e+83): 1 * [misc]none: (-5.612374503803972e+191 2.208377572236396e-264): 3 * [misc]none: (1.625924245506842e+101 3.6974324674576528e-196): 1 * [misc]none: (1.194352601301008e+170 -1.2990710049317618e+149): 0 * [misc]none: (-7.565112997028972e+159 1.1658351917668372e+172): 0 * [misc]none: (1.3349160645071676e+249 2.931040211928409e-256): 3 * [misc]none: (-2.439121548558237e-263 7.971191617216227e+278): 3 * [misc]none: (-5.16988167177608e+53 2.6969709464868204e+192): 0 * [misc]none: (-3.288801652693557e-126 -1.1724467728438874e+62): 0 * [misc]none: (2.4787821728961726e-208 -4.583226060750687e+286): 0 * [misc]none: (4.5505475745463453e+70 -4.7627047558420924e-178): 0 * [misc]none: (9.818158704343799e+98 1.0173157545581e-152): 2 * [misc]none: (-2.7755596952545536e+214 -6.937852684341488e-17): 0 * [misc]none: (-1.102805383752407e+91 -1.1833316978686804e-196): 3 * [misc]none: (-2.074828050091204e+43 -1.6730371273659853e+134): 0 * [misc]none: (7.03833207774333e+15 -1.3239959970038969e+98): 4 * [misc]none: (1.37725435443438e-133 2.7744697188841963e+109): 3 * [misc]none: (-6.937438758466827e-192 -3.3253159094181508e+99): 1 * [misc]none: (1.3198936947099211e-96 -1.5451834902703197e-42): 3 * [misc]none: (-1.7726057829102443e-75 2.332651968655402e-142): 2 * [misc]none: (-1.0504139891547427e+112 1.714387790028798e+53): 6 * [misc]none: (1.0835466360416472e+257 2.2433259629035416e-110): 0 * [misc]none: (-1.2604014885172566e-16 -3.533444382159577e+294): 0 * [misc]none: (4.163796059008999e+263 9.568517745632325e+214): 0 * [misc]none: (2.9372247799245325e+93 3.280888101399023e-178): 0 * [misc]none: (2.4645417753990825e-46 1.1531681692158285e+126): 4 * [misc]none: (-2.094542504845539e+96 3.658887962688304e-221): 3 * [misc]none: (-3194.11813336966 3.8921610463731365e-84): 1 * [misc]none: (-8.851204171241843e+281 -9.262519032529967e-34): 0 * [misc]none: (-1.785130886221006e+231 5.244418714777191e-247): 3 * [misc]none: (-1.1047298144911661e-128 -3.806792758567173e-77): 2 * [misc]none: (8.483535156875368e-302 -1.345613125533753e+279): 3 * [misc]none: (-1.8508777881935605e+151 -0.0006673038257262197): 2 * [misc]none: (2.8621091346925045e-294 1.532108192832722e+128): 5 * [misc]none: (-5.0502610074661083e+207 3.789685423350582e-08): 0 * [misc]none: (-1.2565837085170136e-39 1.762534146009323e+140): 4 * [misc]none: (9.107018310586045e+54 -2.971342031183356e+89): 8 * [misc]none: (-1.6718446752859893e+111 4.918436108504659e-301): 3 * [misc]none: (-2.0718283319643413e+202 -1.6194758145392415e-55): 0 * [misc]none: (1.6691081971097037e+94 -7.498270199484197e+128): 0 * [misc]none: (2.7394548302027227e-88 -3.8474489635359294e+91): 3 * [misc]none: (3.118009484335783e-104 -5.8304170084179074e-46): 2 * [misc]none: (-2.67503022703027e-297 -2.5128760687731143e+95): 0 * [misc]none: (8995869217554.457 -1.9632140373363783e+122): 5 * [misc]none: (2.01314860958205e-179 4.1821161712206335e+98): 0 * [misc]none: (-6.0258374336189325e+121 1.241885419647938e+111): 0 * [misc]none: (3.5248326356674874e-60 -185563564389128.0): 0 * [misc]none: (2.5937923840174148e+191 2.0634010725481968e+279): 0 * [misc]none: (-6.71288738518563e+35 -1.3468517163131261e+272): 0 * [misc]none: (3.7544706354148685e+249 -5.537735150627702e+213): 0 * [misc]none: (1.946944651699716e-139 6.333153678225876e-68): 0 * [misc]none: (8.70336562916574e-216 7.84549397492709e+169): 3 * [misc]none: (6363.313367940982 -1.977991260671615e-272): 1 * [misc]none: (7.762114448443534e+255 1.682179526351612e+60): 0 * [misc]none: (1.3399459123824423e-08 -2.0088395627297287e+293): 0 * [misc]none: (-2.0811417072211844e+239 -2.4464470346425223e-307): 3 * [misc]none: (-4.345326241698038e-278 5.823432666941199e+232): 4 * [misc]none: (-3.1969871529936574e+166 3.226368417375545e+273): 0 * [misc]none: (3.982342803919231e-46 -1.1442254260677068e-38): 3 * [misc]none: (-1.1682833194119885e+290 1.7119636201650242e-68): 0 * [misc]none: (5.22304174043592e-158 -3.807000870050907e+58): 4 * [misc]none: (-1.6925574577510237e+214 8.377477023109926e-106): 3 * [misc]none: (2.3080855823624493e-299 4.50326449267665e+246): 3 * [misc]none: (-1.3788511600691207e+143 -9.563665845262864e+134): 0 * [misc]none: (-4.34857343156037e+281 6.2285928439400495e+156): 0 * [misc]none: (0.002518103001908201 2.819308104709626e+146): 0 * [misc]none: (-4.0300440872978227e-184 1.4105181521169557e+85): 0 * [misc]none: Picked alt (λ (a b) (/ (/ (/ PI 2) (+ a b)) (* a b))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 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]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 (- (/ 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]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 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]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 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]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 (- (/ 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: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ PI 2) (+ a b)) (* a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ a b)) (* a 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 (* 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 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) 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)) (* a 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 (* 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 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) 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)) (* a 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 (* 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 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) 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]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]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI (pow b 2)))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 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]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 (- (/ 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]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI (pow b 3))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 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]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 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))) (* (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (* (/ 1 a) (/ 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 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 (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (/ 1 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (* (/ 1 a) (/ 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 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 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (/ 1 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (* (/ 1 a) (/ 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 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 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (/ 1 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 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 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 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) (/ 1 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 1 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 (+ (* 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 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)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI (pow b 2))) (/ 1 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 1 b))) (* (- (* 1/2 PI)) (/ 0 (/ 1 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 (+ (* 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 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 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 (- 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 (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) (/ 1 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 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 (- 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 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) (/ 1 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 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 (- 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 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) (/ 1 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 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 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 (- 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI b)) (/ 1 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 1 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 (+ (* 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 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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI (pow b 2)))) (/ 1 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 1 b))) (* (* 1/2 PI) (/ 0 (/ 1 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 (+ (* 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: simplifying candidates * * * * [misc]progress: [ 1 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 92 ] 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 (58 enodes) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (+ a b))) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (+ a b))) * * * * [misc]progress: [ 3 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (log (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (log (/ (/ PI 2) (+ a b))) * * * * [misc]progress: [ 4 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 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 (24 enodes) * [exit]simplify: Simplified to (exp (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (exp (/ (/ PI 2) (+ a b))) * * * * [misc]progress: [ 5 / 92 ] 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 (144 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (+ b a)) 3) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (+ b a)) 3) * * * * [misc]progress: [ 6 / 92 ] 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) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) * [enter]simplify: Simplifying (cbrt (/ (/ 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) * [exit]simplify: Simplified to (cbrt (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (cbrt (/ (/ PI 2) (+ a b))) * * * * [misc]progress: [ 7 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (+ a b)) 3) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (+ a b)) 3) * * * * [misc]progress: [ 8 / 92 ] 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) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * [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) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * * * * [misc]progress: [ 9 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ PI 2)) * [exit]simplify: Simplified to (- (/ PI 2)) * [enter]simplify: Simplifying (- (+ a b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (- b) a) * [exit]simplify: Simplified to (- (- b) a) * * * * [misc]progress: [ 10 / 92 ] 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) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (/ (cbrt (/ PI 2)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (/ (cbrt (/ PI 2)) (cbrt (+ 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) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (cbrt (+ a b))) * * * * [misc]progress: [ 11 / 92 ] 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) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (sqrt (+ b a))) (cbrt (/ PI 2))) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (sqrt (+ b a))) (cbrt (/ PI 2))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (+ a b))) * * * * [misc]progress: [ 12 / 92 ] 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 (22 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (+ a b)) * * * * [misc]progress: [ 13 / 92 ] 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) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (cbrt (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (+ a b))) * * * * [misc]progress: [ 14 / 92 ] 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) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * * * * [misc]progress: [ 15 / 92 ] 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) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (+ a b)) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (+ a b)) * * * * [misc]progress: [ 16 / 92 ] 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) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a 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) * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (+ a b))) * * * * [misc]progress: [ 17 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a 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) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (+ a b))) * * * * [misc]progress: [ 18 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [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) * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * * * * [misc]progress: [ 19 / 92 ] 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) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ a b))) * * * * [misc]progress: [ 20 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ a b))) * [exit]simplify: Simplified to (/ PI (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ a b))) * * * * [misc]progress: [ 21 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (+ a b)) * [exit]simplify: Simplified to (/ (/ 1 2) (+ a b)) * * * * [misc]progress: [ 22 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [exit]simplify: Simplified to (/ 1 (+ a b)) * * * * [misc]progress: [ 24 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (/ PI 2)) * * [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 (15 enodes) * [exit]simplify: Simplified to (/ (+ b a) (/ PI 2)) * [exit]simplify: Simplified to (/ (+ b a) (/ PI 2)) * * * * [misc]progress: [ 25 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (cbrt (+ a b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (cbrt (+ a b))) (cbrt (+ a b))) * * * * [misc]progress: [ 26 / 92 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (+ a b))) * * * * [misc]progress: [ 27 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * * * * [misc]progress: [ 28 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ b a) (cbrt (/ PI 2))) * [exit]simplify: Simplified to (/ (+ b a) (cbrt (/ PI 2))) * * * * [misc]progress: [ 29 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (sqrt (/ PI 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ b a) (sqrt (/ PI 2))) * [exit]simplify: Simplified to (/ (+ b a) (sqrt (/ PI 2))) * * * * [misc]progress: [ 30 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (/ PI 2)) * * [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 (15 enodes) * [exit]simplify: Simplified to (/ (+ b a) (/ PI 2)) * [exit]simplify: Simplified to (/ (+ b a) (/ PI 2)) * * * * [misc]progress: [ 31 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (/ 1 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (+ b a) 2) * [exit]simplify: Simplified to (* (+ b a) 2) * * * * [misc]progress: [ 32 / 92 ] 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) * [exit]simplify: Simplified to (/ (/ PI 2) (+ (pow a 3) (pow b 3))) * [exit]simplify: Simplified to (/ (/ PI 2) (+ (pow a 3) (pow b 3))) * * * * [misc]progress: [ 33 / 92 ] 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 (372 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- a b)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- a b)) * * * * [misc]progress: [ 34 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ a b) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (* (+ b a) 2) * [exit]simplify: Simplified to (* (+ b a) 2) * * * * [misc]progress: [ 35 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ PI 2)) (log (+ a b))) (log (* a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (- (- (log (/ PI 2)) (log (+ a b))) (log (* b a))) * [exit]simplify: Simplified to (- (- (log (/ PI 2)) (log (+ a b))) (log (* b a))) * * * * [misc]progress: [ 37 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ PI 2) (+ a b))) (log (* a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * [exit]simplify: Simplified to (- (log (/ (/ PI 2) (+ a b))) (log (* a b))) * [exit]simplify: Simplified to (- (log (/ (/ PI 2) (+ a b))) (log (* a b))) * * * * [misc]progress: [ 38 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (/ PI 2) (+ a b)) (* a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (log (/ (/ (/ PI a) 2) (* (+ a b) b))) * [exit]simplify: Simplified to (log (/ (/ (/ PI a) 2) (* (+ a b) b))) * * * * [misc]progress: [ 39 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (/ PI 2) (+ a b)) (* a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (exp (/ (/ (/ PI b) (+ a b)) (* a 2))) * [exit]simplify: Simplified to (exp (/ (/ (/ PI b) (+ a b)) (* a 2))) * * * * [misc]progress: [ 40 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (* a b) (* a b)) (* a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ PI 2) (+ b a)) (/ (/ PI 2) (+ b a))) (/ (pow (* b a) 3) (/ (/ PI 2) (+ b a)))) * [exit]simplify: Simplified to (/ (* (/ (/ PI 2) (+ b a)) (/ (/ PI 2) (+ b a))) (/ (pow (* b a) 3) (/ (/ PI 2) (+ b a)))) * * * * [misc]progress: [ 41 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (* (* (* a b) (* a b)) (* a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI (* a b)) (* (+ a b) 2)) 3) * [exit]simplify: Simplified to (pow (/ (/ PI (* a b)) (* (+ a b) 2)) 3) * * * * [misc]progress: [ 42 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ PI 2) (+ a b)) (* a b))) (cbrt (/ (/ (/ PI 2) (+ a b)) (* a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI (+ a b)) (* b (* a 2)))) (cbrt (/ (/ PI (+ a b)) (* b (* a 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI (+ a b)) (* b (* a 2)))) (cbrt (/ (/ PI (+ a b)) (* b (* a 2))))) * [enter]simplify: Simplifying (cbrt (/ (/ (/ PI 2) (+ a b)) (* a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI b) (+ a b)) (* a 2))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI b) (+ a b)) (* a 2))) * * * * [misc]progress: [ 43 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (/ PI 2) (+ a b)) (* a b)) (/ (/ (/ PI 2) (+ a b)) (* a b))) (/ (/ (/ PI 2) (+ a b)) (* a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (* a b)) (+ a b)) 3) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (* a b)) (+ a b)) 3) * * * * [misc]progress: [ 44 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ PI 2) (+ a b)) (* a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI b) (+ a b)) (* a 2))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI b) (+ a b)) (* a 2))) * [enter]simplify: Simplifying (sqrt (/ (/ (/ PI 2) (+ a b)) (* a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI b) (+ a b)) (* a 2))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI b) (+ a b)) (* a 2))) * * * * [misc]progress: [ 45 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (- (/ (/ PI 2) (+ a b))) * [enter]simplify: Simplifying (- (* a b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* a (- b)) * [exit]simplify: Simplified to (* a (- b)) * * * * [misc]progress: [ 46 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) a) * * [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 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ PI 2) (+ a b))) (/ a (cbrt (/ (/ PI 2) (+ a b))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ PI 2) (+ a b))) (/ a (cbrt (/ (/ PI 2) (+ a b))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ PI 2) (+ a b))) 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) * [exit]simplify: Simplified to (/ (cbrt (/ (/ PI 2) (+ a b))) b) * [exit]simplify: Simplified to (/ (cbrt (/ (/ PI 2) (+ a b))) b) * * * * [misc]progress: [ 47 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI 2) (+ a b))) a) * * [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) * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI 2) (+ a b))) a) * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI 2) (+ a b))) a) * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI 2) (+ a b))) 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) * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI 2) (+ a b))) b) * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI 2) (+ a b))) b) * * * * [misc]progress: [ 48 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) a) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (/ (cbrt (/ PI 2)) (cbrt (+ b a)))) a) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (/ (cbrt (/ PI 2)) (cbrt (+ b a)))) a) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (cbrt (+ a b))) b) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) b) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) b) (cbrt (+ a b))) * * * * [misc]progress: [ 49 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) a) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (sqrt (+ b a)) a)) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (sqrt (+ b a)) a)) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (sqrt (+ a b))) b) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) b) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) b) (sqrt (+ a b))) * * * * [misc]progress: [ 50 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) a) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) a) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) a) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (+ a b)) b) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (* (+ a b) b)) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (* (+ a b) b)) * * * * [misc]progress: [ 51 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) a) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) a) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) a) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) b) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) b) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) b) (cbrt (+ a b))) * * * * [misc]progress: [ 52 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) a) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) a) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) a) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) b) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) b) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) b) (sqrt (+ a b))) * * * * [misc]progress: [ 53 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) 1) a) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) a) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) a) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (+ a b)) b) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (* (+ a b) b)) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (* (+ a b) b)) * * * * [misc]progress: [ 54 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) a) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 a) (cbrt (+ a b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (/ 1 a) (cbrt (+ a b))) (cbrt (+ a b))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (cbrt (+ a b))) b) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ PI (* 2 b)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ PI (* 2 b)) (cbrt (+ a b))) * * * * [misc]progress: [ 55 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) a) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 a) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 a) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (sqrt (+ a b))) b) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ PI (* 2 b)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ PI (* 2 b)) (sqrt (+ a b))) * * * * [misc]progress: [ 56 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) a) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 a) * [exit]simplify: Simplified to (/ 1 a) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) b) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) b) (+ a b)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) b) (+ a b)) * * * * [misc]progress: [ 57 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) a) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ a b))) (* a (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ a b))) (* a (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (cbrt (+ a b))) b) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 2 b)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 (* 2 b)) (cbrt (+ a b))) * * * * [misc]progress: [ 58 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ a b))) a) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ PI a) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ PI a) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (sqrt (+ a b))) b) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 2 b)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 (* 2 b)) (sqrt (+ a b))) * * * * [misc]progress: [ 59 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) a) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ PI a) * [exit]simplify: Simplified to (/ PI a) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (+ a b)) b) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ 1 (* (* 2 b) (+ a b))) * [exit]simplify: Simplified to (/ 1 (* (* 2 b) (+ a b))) * * * * [misc]progress: [ 60 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 a) * [exit]simplify: Simplified to (/ 1 a) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) b) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) b) (+ a b)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) b) (+ a b)) * * * * [misc]progress: [ 61 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) a) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ PI (* a 2)) * [exit]simplify: Simplified to (/ PI (* a 2)) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) b) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 b) (+ a b)) * [exit]simplify: Simplified to (/ (/ 1 b) (+ a b)) * * * * [misc]progress: [ 62 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) a) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI a) 2) (+ (pow a 3) (pow b 3))) * [exit]simplify: Simplified to (/ (/ (/ PI a) 2) (+ (pow a 3) (pow b 3))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) b) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (- b (* (/ a b) (- b a))) * [exit]simplify: Simplified to (- b (* (/ a b) (- b a))) * * * * [misc]progress: [ 63 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (- (* a a) (* b b))) a) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* (- a b) (* a 2))) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* (- a b) (* a 2))) * [enter]simplify: Simplifying (/ (- a b) b) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (- a b) b) * [exit]simplify: Simplified to (/ (- a b) b) * * * * [misc]progress: [ 64 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* b a)) * [exit]simplify: Simplified to (/ 1 (* b a)) * * * * [misc]progress: [ 66 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) b) (/ (/ PI 2) a)) * [exit]simplify: Simplified to (/ (* (+ b a) b) (/ (/ PI 2) a)) * * * * [misc]progress: [ 67 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) a) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (/ PI (* a 2)) (+ a b)) * [exit]simplify: Simplified to (/ (/ PI (* a 2)) (+ a b)) * * * * [misc]progress: [ 68 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (cbrt (/ (/ PI 2) (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (* b a) (cbrt (/ (/ PI 2) (+ b a)))) * [exit]simplify: Simplified to (/ (* b a) (cbrt (/ (/ PI 2) (+ b a)))) * * * * [misc]progress: [ 69 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (sqrt (/ (/ PI 2) (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (* b a) (sqrt (/ (/ PI 2) (+ b a)))) * [exit]simplify: Simplified to (/ (* b a) (sqrt (/ (/ PI 2) (+ b a)))) * * * * [misc]progress: [ 70 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ (* b a) (cbrt (/ PI 2))) (cbrt (+ b a))) * [exit]simplify: Simplified to (* (/ (* b a) (cbrt (/ PI 2))) (cbrt (+ b a))) * * * * [misc]progress: [ 71 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (cbrt (/ PI 2)) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ (* b a) (cbrt (/ PI 2))) (sqrt (+ b a))) * [exit]simplify: Simplified to (* (/ (* b a) (cbrt (/ PI 2))) (sqrt (+ b a))) * * * * [misc]progress: [ 72 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (cbrt (/ PI 2)) (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) (* b a)) (cbrt (/ PI 2))) * [exit]simplify: Simplified to (/ (* (+ b a) (* b a)) (cbrt (/ PI 2))) * * * * [misc]progress: [ 73 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ (* b a) (sqrt (/ PI 2))) (cbrt (+ b a))) * [exit]simplify: Simplified to (* (/ (* b a) (sqrt (/ PI 2))) (cbrt (+ b a))) * * * * [misc]progress: [ 74 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ (* b a) (sqrt (/ PI 2))) (sqrt (+ b a))) * [exit]simplify: Simplified to (* (/ (* b a) (sqrt (/ PI 2))) (sqrt (+ b a))) * * * * [misc]progress: [ 75 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (sqrt (/ PI 2)) (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) (* b a)) (sqrt (/ PI 2))) * [exit]simplify: Simplified to (/ (* (+ b a) (* b a)) (sqrt (/ PI 2))) * * * * [misc]progress: [ 76 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ PI 2) (cbrt (+ 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 (82 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (* (/ (* a 2) (/ PI b)) (cbrt (+ b a))) * [exit]simplify: Simplified to (* (/ (* a 2) (/ PI b)) (cbrt (+ b a))) * * * * [misc]progress: [ 77 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ PI 2) (sqrt (+ 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 (82 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (* (/ (* a 2) (/ PI b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (* (/ (* a 2) (/ PI b)) (sqrt (+ b a))) * * * * [misc]progress: [ 78 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) b) (/ (/ PI 2) a)) * [exit]simplify: Simplified to (/ (* (+ b a) b) (/ (/ PI 2) a)) * * * * [misc]progress: [ 79 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ 1 2) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (* (cbrt (+ b a)) (* (* b a) 2)) * [exit]simplify: Simplified to (* (cbrt (+ b a)) (* (* b a) 2)) * * * * [misc]progress: [ 80 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ 1 2) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (* (sqrt (+ b a)) (* (* b a) 2)) * [exit]simplify: Simplified to (* (sqrt (+ b a)) (* (* b a) 2)) * * * * [misc]progress: [ 81 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ 1 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (* (* 2 b) (* a (+ b a))) * [exit]simplify: Simplified to (* (* 2 b) (* a (+ b a))) * * * * [misc]progress: [ 82 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) b) (/ (/ PI 2) a)) * [exit]simplify: Simplified to (/ (* (+ b a) b) (/ (/ PI 2) a)) * * * * [misc]progress: [ 83 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ 1 (+ a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (* (* b a) (+ b a)) * [exit]simplify: Simplified to (* (* b a) (+ b a)) * * * * [misc]progress: [ 84 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (+ (* a a) (- (* b b) (* a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ b (- (/ (* b b) a) (- b a))) * [exit]simplify: Simplified to (/ b (- (/ (* b b) a) (- b a))) * * * * [misc]progress: [ 85 / 92 ] simplifiying candidate # * [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 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (* b a) (- a b)) * [exit]simplify: Simplified to (/ (* b a) (- a b)) * * * * [misc]progress: [ 86 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a b) (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (* b a) (+ b a)) * [exit]simplify: Simplified to (* (* b a) (+ b a)) * * * * [misc]progress: [ 87 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 88 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 89 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 90 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 91 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 92 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 12 * [misc]none: All alts: 12 * [misc]none: Fresh alt: (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a))))) (+ b a))) * [misc]none: Fresh alt: (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))))) * [misc]none: Fresh alt: (λ (a b) (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))) * [misc]none: Fresh alt: (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))) * [misc]none: Fresh alt: (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))) (* a b))) * [misc]none: Fresh alt: (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))) (* a b))) * [misc]none: Fresh alt: (λ (a b) (/ (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) (* (+ (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))) * [misc]none: Fresh alt: (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* a b) (* (+ b a) (- b a))))) * [misc]none: Fresh alt: (λ (a b) (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b)))) (* a b))) * [misc]none: Fresh alt: (λ (a b) (/ (* (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b)))) (* a b))) * [misc]none: Fresh alt: (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))) * [misc]none: Fresh alt: (λ (a b) (/ 1 (/ (* a b) (/ (/ PI 2) (+ a b))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a))))) (+ b a))): 0 * [misc]none: (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))))): 1 * [misc]none: (λ (a b) (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))): 2 * [misc]none: (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))): 3 * [misc]none: (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))) (* a b))): 4 * [misc]none: (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))) (* a b))): 5 * [misc]none: (λ (a b) (/ (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) (* (+ (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))): 6 * [misc]none: (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* a b) (* (+ b a) (- b a))))): 7 * [misc]none: (λ (a b) (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b)))) (* a b))): 8 * [misc]none: (λ (a b) (/ (* (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b)))) (* a b))): 9 * [misc]none: (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))): 10 * [misc]none: (λ (a b) (/ 1 (/ (* a b) (/ (/ PI 2) (+ a b))))): 11 * [misc]none: Best fresh alt per point * [misc]none: (-1.5418757249344543e-63 -1.5808149525401404e+250): 0 * [misc]none: (3.027496459540811e+165 -1.2288638190895444e-91): 2 * [misc]none: (-1.9577524593014605e+255 2.4666697643039057e+135): 0 * [misc]none: (-9.953058197226308e-231 -1.6523309537219388e+292): 0 * [misc]none: (1.4077992202573094e+157 -1.6969785717566782e-186): 10 * [misc]none: (1.2222350343583978e+196 -1.4775843798497103e-226): 9 * [misc]none: (4.042918419768235e-293 -3.2304680091420593e+273): 11 * [misc]none: (-1.2948317804463169e-282 -2.8090151520671207e+163): 2 * [misc]none: (-3.464947738442053e-155 4.004060788521414e+101): 2 * [misc]none: (5.679811834757315e+283 -6.473810795939257e+164): 1 * [misc]none: (3.588388254213374e-229 -1139547812.809111): 5 * [misc]none: (4.890275917515567e-08 -5.005096670380054e+47): 2 * [misc]none: (-1.1716631781329626e-278 2.3982589341782892e+126): 3 * [misc]none: (-1.9903644617661157e-253 -2.385315376938663e+253): 3 * [misc]none: (1.6672558556111832e-132 -5.52786254698352e+123): 3 * [misc]none: (-3.3129658515159495e+106 -2.2098708111796672e-198): 2 * [misc]none: (-2.404284016476968e+279 1.233722688499856e-260): 10 * [misc]none: (-3.5028343458937535e-90 5.227910927587319e+245): 0 * [misc]none: (-63767.21419834566 -1.7606249358192524e+273): 0 * [misc]none: (267950632.53292695 5.624641690736252e-214): 1 * [misc]none: (8.322805913504859e+214 3.2616756987284277e-94): 0 * [misc]none: (5.772678079688886e-193 -6.744341629118722e+132): 2 * [misc]none: (6.954230926244437e-248 -8.888663579267588e+145): 2 * [misc]none: (-1.2824561231119317e-43 -5.084319674250709e+292): 0 * [misc]none: (1.2017614084255727e-118 2.163051204570009e+135): 2 * [misc]none: (-9.483463323409894e+83 1.3207468552144425e-275): 0 * [misc]none: (1.2439278636891217e+233 1.1524614864139226e-160): 4 * [misc]none: (1.5181493189729785e-210 2.5055367778394023e+168): 10 * [misc]none: (161620833577619.34 2.9543484210487e+68): 0 * [misc]none: (-4.0220565746330086e+125 -1.6011896215578737e-278): 7 * [misc]none: (-1.279384825639919e+218 -4.0734910927239613e+279): 1 * [misc]none: (4.849304008883996e+136 -1.9158965524986357e+21): 2 * [misc]none: (-1.0078494497283481e-63 -4.666260546447364e-94): 0 * [misc]none: (7.089677021982108e+243 5.396180940081133e+274): 1 * [misc]none: (-1.0374694539724338e-22 3.1474503815022313e+156): 2 * [misc]none: (2.237363577109642e+74 1.6588937679962464e-112): 2 * [misc]none: (3.192528639732453e+177 -5.90661572185385e+255): 1 * [misc]none: (-4.3665826438370466e+132 -1.0295936791749538e-299): 1 * [misc]none: (-2.3878879079615316e+176 -2.7604299366199517e-300): 2 * [misc]none: (-7.185580883046913e-107 -9.568148082725508e-90): 3 * [misc]none: (1.8269212298308998e+214 1789977963981.046): 0 * [misc]none: (-1.7899154283931006e-62 1.6281717766697912e+39): 2 * [misc]none: (3.5243641367880456e+86 -3.0008256032154172e-176): 0 * [misc]none: (-7.986330642950897e-117 1.1611754700502491e-55): 0 * [misc]none: (8.728226238434233e-64 -1.6133455999823373e+110): 3 * [misc]none: (-3.9890484917100117e+257 -1.5117832743647305e-21): 0 * [misc]none: (-4.026134204708055e+160 2.281413649637054e-166): 10 * [misc]none: (-1.65054043818576e-39 -1.0058709145515093e+290): 0 * [misc]none: (-0.15058815983267834 3.714800492587865e+85): 6 * [misc]none: (-4.7089063680709754e+260 4.344802098601123e-298): 2 * [misc]none: (4.508329239962989e+257 -1.211264682641895e-292): 2 * [misc]none: (1.0495684746531957e+167 2.721003254105153e-81): 3 * [misc]none: (-3.0671153252781823e-63 -7.74362334743424e+32): 0 * [misc]none: (-2.2376851712564295e-118 1.64239269831532e+149): 2 * [misc]none: (-1.576948173228613e+33 9.680698928511806e-32): 0 * [misc]none: (1.954959341132994e-252 -7.83347153590065e-06): 0 * [misc]none: (5.521334390623478e-06 -3.229654932887624e+201): 0 * [misc]none: (-9.906575581428813e+195 7.10957194421701e+200): 1 * [misc]none: (-4.7756557550151386e+160 2.4256946179069016e+78): 0 * [misc]none: (6.207394963032113e+30 -7.218692088264328e+54): 3 * [misc]none: (8.781920275794267e+61 3.5618749791650757e+87): 3 * [misc]none: (4.9372470656494625e-201 1.4446355009900792e+23): 0 * [misc]none: (-3.5082856951249954e-122 9.917487178181935e-54): 3 * [misc]none: (-7.01049497494046e-138 3.841494064694043e+276): 0 * [misc]none: (3.642806409692576e+70 -3.326243684234595e+241): 0 * [misc]none: (-7.587678445119084e+247 1.518078533135906e+61): 0 * [misc]none: (1.5052438492777668e+214 1.5460201380138582e-108): 2 * [misc]none: (6.354924490516637e-174 1.1935837539207151e+36): 2 * [misc]none: (-1.6901036379481523e+68 5.558607723763576e+296): 0 * [misc]none: (-5129.844514220037 -8.518839978003416e+199): 0 * [misc]none: (5.0618502549145104e+216 -2.0899529309308688e-173): 2 * [misc]none: (-1.3078423091955545e+95 8.726419779901594e-156): 0 * [misc]none: (1.5484790382727637e+258 2.2758369496030736e+44): 0 * [misc]none: (2.7646272679971947e+138 1.8029164814151534e-305): 2 * [misc]none: (-8.140052952226443e-29 -3.868827374468717e+273): 0 * [misc]none: (-9.30868828487235e-242 7.865810923274834e+251): 2 * [misc]none: (-1.977339157633397e-22 -12396.634829186376): 6 * [misc]none: (2.0737883409435182e-60 8.938208620266642e-81): 0 * [misc]none: (-1.0125994980022202e+121 9.949795070357293e-13): 2 * [misc]none: (3.9753155304068916e+192 -1.5751944823937151e-208): 8 * [misc]none: (-5.711690539427335e-292 2.0698086438592394e+99): 0 * [misc]none: (8.149794087375897e+77 1.4399038101240658e-157): 2 * [misc]none: (-0.0033935472374883513 -1.873060887288803e+204): 0 * [misc]none: (6.486236446634097e-143 -6.777569686362558e+23): 2 * [misc]none: (-3.976258322985434e+241 1.0713666056080785e-84): 0 * [misc]none: (-1.4481584190101499e-109 1.8890847145741933e+54): 10 * [misc]none: (5.334416108525731e+103 8.243928876632343e+120): 0 * [misc]none: 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[misc]none: (5.338353252944482e+295 2.475773952907049e-271): 2 * [misc]none: (5.261531518469373e-290 2.555657911489638e+100): 3 * [misc]none: (2.1545947154827896e+229 2.6209188754640728e+107): 0 * [misc]none: (1.0367654190214238e+155 7.510167254913154e-75): 2 * [misc]none: (-1.879438806525893e-17 -2.2458375637103902e-132): 0 * [misc]none: (-9.791675790911144e+50 5.462119320563526e+16): 2 * [misc]none: (-7.461408405072584e-11 2.819362408294866e+247): 0 * [misc]none: (5.576422555370537e+229 -1.2634592988240547e+184): 1 * [misc]none: (-2.046312445248254e+167 -2.5768688170454604e-166): 2 * [misc]none: (-2.3695265370701153e-160 5.627370989949808e+102): 0 * [misc]none: (1.268161462925599e-223 1.8558602765266175e+154): 2 * [misc]none: (-3.8061627632242695e+220 1.4601547257514377e-37): 0 * [misc]none: (6.851358071879168e+277 -1.4026731237337527e+299): 1 * [misc]none: (-1.8322924530722165e+176 2.6481468427206757e-89): 2 * [misc]none: (1.8304705420573128e+300 5.162437418074754e-216): 0 * [misc]none: (5.884862647618943e+102 1.3917287586797797e+215): 0 * [misc]none: (-1.9484215729108895e+208 2.7534373406057187e+274): 1 * [misc]none: (-6.754823491493555e-24 -2.4266153803656513e-110): 2 * [misc]none: (2.802805856656922e+299 3267744482859.4893): 0 * [misc]none: (-2.125403821003621e+259 -5.821161027096475e-49): 0 * [misc]none: (-2.4642361000377723e+179 -223338690.5739434): 0 * [misc]none: (2.617385806499904e-208 6.454193966659965e-12): 0 * [misc]none: (1.2843486366644783e+218 1.6598105327534946e+245): 1 * [misc]none: (-2.2565106546246065e+111 -8.921793657844595e+241): 0 * [misc]none: (-1.2504926677350782e+286 2142884768423.9766): 0 * [misc]none: (6.352964037059704e-48 2.0675888684205106e-37): 2 * [misc]none: (1.7860466700053246e+179 -2.1540953112813662e-178): 2 * [misc]none: (-1.1984894069610523e-255 2.286904329311883e+176): 2 * [misc]none: (-3.0869297245392077e+307 -7.242911167116891e-28): 0 * [misc]none: (-3.652961257321153e+269 -1.981435962910265e-248): 8 * [misc]none: (1.434478809327731e-162 1.7673263201240207e+200): 3 * [misc]none: (4.1358060479750856e+163 2.77377213114978e+181): 1 * [misc]none: (1.5437232098269186e+160 -5.1984298768145166e+116): 0 * [misc]none: (-1.2768311469464077e-95 -4.0802892718556596e+97): 6 * [misc]none: (-4.502005664483894e-90 -1.3669353810280968e+130): 7 * [misc]none: (3.5925206879521377e-169 -1.3877894503805502e+162): 2 * [misc]none: (3.851639943546658e-220 7.262940842293714e+141): 1 * [misc]none: (1.5786239562667337e+192 -1.646250865837071e-08): 0 * [misc]none: (1175954691713314.2 1.6505576250215693e+254): 0 * [misc]none: (-8.454483141733306e+289 3.2999709724191907e-111): 0 * [misc]none: (-6.317430000587058e+24 -4.671984247068368e+114): 10 * [misc]none: (-2.9619260441588295e+211 -7.22878673519174e-279): 2 * [misc]none: (-3.759430214395936e-120 -1.445629235880647e+140): 2 * [misc]none: (2.1262474173228004e+275 2.0609285567281652e-241): 2 * [misc]none: (1.9640202737101926e+158 4.0355590295024944e+30): 0 * [misc]none: (-3.1297081963080297e-242 8.94051254019841e+73): 0 * [misc]none: (-1.0418876601412776e+158 1.334212127520659e-194): 11 * [misc]none: (2.3042294780211474e+199 -0.1449571473562267): 0 * [misc]none: (-1.322393042309631e-287 331.0762921520269): 2 * [misc]none: (2.486727752761897e+186 6.1692613790114145e-176): 2 * [misc]none: (1.6628640493696272e+86 -1.5025592441357432e-91): 2 * [misc]none: (2.3621708607435707e+306 -2.12081898299509e-251): 0 * [misc]none: (-4.444969967255464e-50 -7.309457855467372e+172): 2 * [misc]none: (-5.496412463214942e+159 -1.4721600470373534e-29): 3 * [misc]none: (-3.123985774571585e+305 4.3713778543032466e+80): 0 * [misc]none: (9.77689775396416e+270 -3.9142022803361806e-187): 0 * [misc]none: (-5.65740503188699e+260 5.701436151254667e-51): 0 * [misc]none: (-4.0509904466518765e-37 -6.2678543781187986e-158): 2 * [misc]none: (2.6870891996869854e+222 1.403842517343178e+239): 1 * [misc]none: (-4.523272375047282e+19 -3.133147621079016e+299): 0 * [misc]none: (-3.1263201082196465e-277 4.562606033317646e+142): 2 * [misc]none: (2.1157410136365666e+27 1.7344997138936077e-42): 7 * [misc]none: (-3.913559470208424e-83 -2.9867969528063676e+265): 0 * [misc]none: (3.0173777232564683e+257 1.4365336082533024e-65): 0 * [misc]none: (7.3222795686052666e+50 -9.290387573799883e-227): 0 * [misc]none: (-9.568307378321542e-67 3.826389705571192e+305): 0 * [misc]none: (1945731255459.47 3.4149900413992998e-118): 3 * [misc]none: (-3.9457481405050707e-140 -3.8831186001124554e+177): 2 * [misc]none: (3.9566905915205435e+222 -4.045276803805828e+248): 1 * [misc]none: (2.0407374713985817e-67 6.798712177335776e+112): 1 * [misc]none: (-1.7506244038659656e+155 -5.551664099930396e+287): 1 * [misc]none: (1.622208144463601e-166 -8.556050344850203e+96): 2 * [misc]none: (-1.7889344297298395e-138 8.336613082028674e+83): 0 * [misc]none: (-5.612374503803972e+191 2.208377572236396e-264): 2 * [misc]none: (1.625924245506842e+101 3.6974324674576528e-196): 0 * [misc]none: (1.194352601301008e+170 -1.2990710049317618e+149): 0 * [misc]none: (-7.565112997028972e+159 1.1658351917668372e+172): 1 * [misc]none: (1.3349160645071676e+249 2.931040211928409e-256): 3 * [misc]none: (-2.439121548558237e-263 7.971191617216227e+278): 2 * [misc]none: (-5.16988167177608e+53 2.6969709464868204e+192): 0 * [misc]none: (-3.288801652693557e-126 -1.1724467728438874e+62): 5 * [misc]none: (2.4787821728961726e-208 -4.583226060750687e+286): 0 * [misc]none: (4.5505475745463453e+70 -4.7627047558420924e-178): 0 * [misc]none: (9.818158704343799e+98 1.0173157545581e-152): 1 * [misc]none: (-2.7755596952545536e+214 -6.937852684341488e-17): 0 * [misc]none: (-1.102805383752407e+91 -1.1833316978686804e-196): 2 * [misc]none: (-2.074828050091204e+43 -1.6730371273659853e+134): 1 * [misc]none: (7.03833207774333e+15 -1.3239959970038969e+98): 8 * [misc]none: (1.37725435443438e-133 2.7744697188841963e+109): 3 * [misc]none: (-6.937438758466827e-192 -3.3253159094181508e+99): 0 * [misc]none: (1.3198936947099211e-96 -1.5451834902703197e-42): 3 * [misc]none: (-1.7726057829102443e-75 2.332651968655402e-142): 1 * [misc]none: (-1.0504139891547427e+112 1.714387790028798e+53): 6 * [misc]none: (1.0835466360416472e+257 2.2433259629035416e-110): 0 * [misc]none: (-1.2604014885172566e-16 -3.533444382159577e+294): 0 * [misc]none: (4.163796059008999e+263 9.568517745632325e+214): 1 * [misc]none: (2.9372247799245325e+93 3.280888101399023e-178): 3 * [misc]none: (2.4645417753990825e-46 1.1531681692158285e+126): 2 * [misc]none: (-2.094542504845539e+96 3.658887962688304e-221): 3 * [misc]none: (-3194.11813336966 3.8921610463731365e-84): 0 * [misc]none: (-8.851204171241843e+281 -9.262519032529967e-34): 0 * [misc]none: (-1.785130886221006e+231 5.244418714777191e-247): 2 * [misc]none: (-1.1047298144911661e-128 -3.806792758567173e-77): 1 * [misc]none: (8.483535156875368e-302 -1.345613125533753e+279): 3 * [misc]none: (-1.8508777881935605e+151 -0.0006673038257262197): 1 * [misc]none: (2.8621091346925045e-294 1.532108192832722e+128): 5 * [misc]none: (-5.0502610074661083e+207 3.789685423350582e-08): 0 * [misc]none: (-1.2565837085170136e-39 1.762534146009323e+140): 2 * [misc]none: (9.107018310586045e+54 -2.971342031183356e+89): 10 * [misc]none: (-1.6718446752859893e+111 4.918436108504659e-301): 2 * [misc]none: (-2.0718283319643413e+202 -1.6194758145392415e-55): 0 * [misc]none: (1.6691081971097037e+94 -7.498270199484197e+128): 0 * [misc]none: (2.7394548302027227e-88 -3.8474489635359294e+91): 3 * [misc]none: (3.118009484335783e-104 -5.8304170084179074e-46): 1 * [misc]none: (-2.67503022703027e-297 -2.5128760687731143e+95): 0 * [misc]none: (8995869217554.457 -1.9632140373363783e+122): 6 * [misc]none: (2.01314860958205e-179 4.1821161712206335e+98): 2 * [misc]none: (-6.0258374336189325e+121 1.241885419647938e+111): 0 * [misc]none: (3.5248326356674874e-60 -185563564389128.0): 2 * [misc]none: (2.5937923840174148e+191 2.0634010725481968e+279): 1 * [misc]none: (-6.71288738518563e+35 -1.3468517163131261e+272): 0 * [misc]none: (3.7544706354148685e+249 -5.537735150627702e+213): 1 * [misc]none: (1.946944651699716e-139 6.333153678225876e-68): 5 * [misc]none: (8.70336562916574e-216 7.84549397492709e+169): 2 * [misc]none: (6363.313367940982 -1.977991260671615e-272): 0 * [misc]none: (7.762114448443534e+255 1.682179526351612e+60): 0 * [misc]none: (1.3399459123824423e-08 -2.0088395627297287e+293): 0 * [misc]none: (-2.0811417072211844e+239 -2.4464470346425223e-307): 3 * [misc]none: (-4.345326241698038e-278 5.823432666941199e+232): 2 * [misc]none: (-3.1969871529936574e+166 3.226368417375545e+273): 1 * [misc]none: (3.982342803919231e-46 -1.1442254260677068e-38): 2 * [misc]none: (-1.1682833194119885e+290 1.7119636201650242e-68): 0 * [misc]none: (5.22304174043592e-158 -3.807000870050907e+58): 2 * [misc]none: (-1.6925574577510237e+214 8.377477023109926e-106): 2 * [misc]none: (2.3080855823624493e-299 4.50326449267665e+246): 2 * [misc]none: (-1.3788511600691207e+143 -9.563665845262864e+134): 0 * [misc]none: (-4.34857343156037e+281 6.2285928439400495e+156): 1 * [misc]none: (0.002518103001908201 2.819308104709626e+146): 2 * [misc]none: (-4.0300440872978227e-184 1.4105181521169557e+85): 2 * [misc]none: All alt indexes * [misc]none: (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a))))) (+ b a))): 0 * [misc]none: (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))))): 1 * [misc]none: (λ (a b) (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))): 2 * [misc]none: (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))): 3 * [misc]none: (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))) (* a b))): 4 * [misc]none: (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))) (* a b))): 5 * [misc]none: (λ (a b) (/ (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) (* (+ (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))): 6 * [misc]none: (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* a b) (* (+ b a) (- b a))))): 7 * [misc]none: (λ (a b) (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b)))) (* a b))): 8 * [misc]none: (λ (a b) (/ (* (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b)))) (* a b))): 9 * [misc]none: (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))): 10 * [misc]none: (λ (a b) (/ 1 (/ (* a b) (/ (/ PI 2) (+ a b))))): 11 * [misc]none: Best alt per point * [misc]none: (-1.5418757249344543e-63 -1.5808149525401404e+250): 0 * [misc]none: (3.027496459540811e+165 -1.2288638190895444e-91): 2 * [misc]none: (-1.9577524593014605e+255 2.4666697643039057e+135): 0 * [misc]none: (-9.953058197226308e-231 -1.6523309537219388e+292): 0 * [misc]none: (1.4077992202573094e+157 -1.6969785717566782e-186): 10 * [misc]none: (1.2222350343583978e+196 -1.4775843798497103e-226): 9 * 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-6.937852684341488e-17): 0 * [misc]none: (-1.102805383752407e+91 -1.1833316978686804e-196): 2 * [misc]none: (-2.074828050091204e+43 -1.6730371273659853e+134): 1 * [misc]none: (7.03833207774333e+15 -1.3239959970038969e+98): 8 * [misc]none: (1.37725435443438e-133 2.7744697188841963e+109): 3 * [misc]none: (-6.937438758466827e-192 -3.3253159094181508e+99): 0 * [misc]none: (1.3198936947099211e-96 -1.5451834902703197e-42): 3 * [misc]none: (-1.7726057829102443e-75 2.332651968655402e-142): 1 * [misc]none: (-1.0504139891547427e+112 1.714387790028798e+53): 6 * [misc]none: (1.0835466360416472e+257 2.2433259629035416e-110): 0 * [misc]none: (-1.2604014885172566e-16 -3.533444382159577e+294): 0 * [misc]none: (4.163796059008999e+263 9.568517745632325e+214): 1 * [misc]none: (2.9372247799245325e+93 3.280888101399023e-178): 3 * [misc]none: (2.4645417753990825e-46 1.1531681692158285e+126): 2 * [misc]none: (-2.094542504845539e+96 3.658887962688304e-221): 3 * [misc]none: (-3194.11813336966 3.8921610463731365e-84): 0 * [misc]none: (-8.851204171241843e+281 -9.262519032529967e-34): 0 * [misc]none: (-1.785130886221006e+231 5.244418714777191e-247): 2 * [misc]none: (-1.1047298144911661e-128 -3.806792758567173e-77): 1 * [misc]none: (8.483535156875368e-302 -1.345613125533753e+279): 3 * [misc]none: (-1.8508777881935605e+151 -0.0006673038257262197): 1 * [misc]none: (2.8621091346925045e-294 1.532108192832722e+128): 5 * [misc]none: (-5.0502610074661083e+207 3.789685423350582e-08): 0 * [misc]none: (-1.2565837085170136e-39 1.762534146009323e+140): 2 * [misc]none: (9.107018310586045e+54 -2.971342031183356e+89): 10 * [misc]none: (-1.6718446752859893e+111 4.918436108504659e-301): 2 * [misc]none: (-2.0718283319643413e+202 -1.6194758145392415e-55): 0 * [misc]none: (1.6691081971097037e+94 -7.498270199484197e+128): 0 * [misc]none: (2.7394548302027227e-88 -3.8474489635359294e+91): 3 * [misc]none: (3.118009484335783e-104 -5.8304170084179074e-46): 1 * [misc]none: (-2.67503022703027e-297 -2.5128760687731143e+95): 0 * [misc]none: (8995869217554.457 -1.9632140373363783e+122): 6 * [misc]none: (2.01314860958205e-179 4.1821161712206335e+98): 2 * [misc]none: (-6.0258374336189325e+121 1.241885419647938e+111): 0 * [misc]none: (3.5248326356674874e-60 -185563564389128.0): 2 * [misc]none: (2.5937923840174148e+191 2.0634010725481968e+279): 1 * [misc]none: (-6.71288738518563e+35 -1.3468517163131261e+272): 0 * [misc]none: (3.7544706354148685e+249 -5.537735150627702e+213): 1 * [misc]none: (1.946944651699716e-139 6.333153678225876e-68): 5 * [misc]none: (8.70336562916574e-216 7.84549397492709e+169): 2 * [misc]none: (6363.313367940982 -1.977991260671615e-272): 0 * [misc]none: (7.762114448443534e+255 1.682179526351612e+60): 0 * [misc]none: (1.3399459123824423e-08 -2.0088395627297287e+293): 0 * [misc]none: (-2.0811417072211844e+239 -2.4464470346425223e-307): 3 * [misc]none: (-4.345326241698038e-278 5.823432666941199e+232): 2 * [misc]none: (-3.1969871529936574e+166 3.226368417375545e+273): 1 * [misc]none: (3.982342803919231e-46 -1.1442254260677068e-38): 2 * [misc]none: (-1.1682833194119885e+290 1.7119636201650242e-68): 0 * [misc]none: (5.22304174043592e-158 -3.807000870050907e+58): 2 * [misc]none: (-1.6925574577510237e+214 8.377477023109926e-106): 2 * [misc]none: (2.3080855823624493e-299 4.50326449267665e+246): 2 * [misc]none: (-1.3788511600691207e+143 -9.563665845262864e+134): 0 * [misc]none: (-4.34857343156037e+281 6.2285928439400495e+156): 1 * [misc]none: (0.002518103001908201 2.819308104709626e+146): 2 * [misc]none: (-4.0300440872978227e-184 1.4105181521169557e+85): 2 * [misc]none: Picked alt (λ (a b) (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a 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 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 a) into (/ 1/2 a) * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a 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 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 b) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a 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 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 b) into (/ 1/2 b) * [misc]backup-simplify: Simplify (* PI (/ 1/2 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 1 b)))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* PI (- (* 1/2 (/ 1 (pow b 2))))) (* 0 (/ 1/2 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]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 (- (/ 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 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* (- (* 1/2 (/ 1 (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ 1 (pow b 3))) * [misc]backup-simplify: Simplify (+ (* PI (* 1/2 (/ 1 (pow b 3)))) (+ (* 0 (- (* 1/2 (/ 1 (pow b 2))))) (* 0 (/ 1/2 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]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 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 (/ (/ 1 2) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 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 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 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 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 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 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 1) into 1/2 * [misc]backup-simplify: Simplify (* PI 1/2) 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 (- (+ (* 1/2 (/ 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 (/ (/ 1 b) 1)))) into (- (* 1/2 (/ 1 b))) * [misc]backup-simplify: Simplify (+ (* PI (- (* 1/2 (/ 1 b)))) (* 0 1/2)) 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 (- (+ (* 1/2 (/ 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 (/ 0 1)) (* (- (* 1/2 (/ 1 b))) (/ (/ 1 b) 1)))) into (* 1/2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* PI (* 1/2 (/ 1 (pow b 2)))) (+ (* 0 (- (* 1/2 (/ 1 b)))) (* 0 1/2))) 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]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 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 (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 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 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 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 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 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 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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 -1) into -1/2 * [misc]backup-simplify: Simplify (* PI -1/2) 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 (- (+ (* 1/2 (/ 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 (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/2 (/ 1 b))) (* 0 -1/2)) 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 (- (+ (* 1/2 (/ 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 (/ 0 -1)) (* (* 1/2 (/ 1 b)) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* PI (- (* 1/2 (/ 1 (pow b 2))))) (+ (* 0 (* 1/2 (/ 1 b))) (* 0 -1/2))) 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]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 (- (/ 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: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ a b))) (* a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ a b))) (* a b)) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a 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 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 a) into (/ 1/2 a) * [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 (* PI (/ 1/2 a)) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) 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 (/ (/ 1 2) (+ a b))) (* a b)) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a 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 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 b) into (/ 1/2 b) * [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 (* PI (/ 1/2 b)) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) 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 (/ (/ 1 2) (+ a b))) (* a b)) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a 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 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 b) into (/ 1/2 b) * [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 (* PI (/ 1/2 b)) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) 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]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 (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 1 b)))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* PI (- (* 1/2 (/ 1 (pow b 2))))) (* 0 (/ 1/2 b))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI (pow b 2)))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 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]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 (- (/ 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 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* (- (* 1/2 (/ 1 (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ 1 (pow b 3))) * [misc]backup-simplify: Simplify (+ (* PI (* 1/2 (/ 1 (pow b 3)))) (+ (* 0 (- (* 1/2 (/ 1 (pow b 2))))) (* 0 (/ 1/2 b)))) into (* 1/2 (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI (pow b 3))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 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]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 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 (/ (/ 1 2) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 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 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [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]backup-simplify: Simplify (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (/ 1 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 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 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 1) into 1/2 * [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 (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (/ 1 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 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 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 1) into 1/2 * [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 (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (/ 1 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 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 (- (+ (* 1/2 (/ 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 (/ (/ 1 b) 1)))) into (- (* 1/2 (/ 1 b))) * [misc]backup-simplify: Simplify (+ (* PI (- (* 1/2 (/ 1 b)))) (* 0 1/2)) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) (/ 1 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 1 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 (+ (* 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 (- (+ (* 1/2 (/ 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 (/ 0 1)) (* (- (* 1/2 (/ 1 b))) (/ (/ 1 b) 1)))) into (* 1/2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* PI (* 1/2 (/ 1 (pow b 2)))) (+ (* 0 (- (* 1/2 (/ 1 b)))) (* 0 1/2))) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI (pow b 2))) (/ 1 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 1 b))) (* (- (* 1/2 PI)) (/ 0 (/ 1 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 (+ (* 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 (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 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 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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 -1) into -1/2 * [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]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 (* PI -1/2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) (/ 1 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 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 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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 -1) into -1/2 * [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]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 (* PI -1/2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) (/ 1 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 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 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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 -1) into -1/2 * [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]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 (* PI -1/2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) (/ 1 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 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 (- (+ (* 1/2 (/ 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 (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/2 (/ 1 b))) (* 0 -1/2)) into (* 1/2 (/ 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI b)) (/ 1 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 1 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 (+ (* 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 (- (+ (* 1/2 (/ 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 (/ 0 -1)) (* (* 1/2 (/ 1 b)) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* PI (- (* 1/2 (/ 1 (pow b 2))))) (+ (* 0 (* 1/2 (/ 1 b))) (* 0 -1/2))) 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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI (pow b 2)))) (/ 1 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 1 b))) (* (* 1/2 PI) (/ 0 (/ 1 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 (+ (* 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: [ 3 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (/ 1 2) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 a) into (/ 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 b) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 b) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1/2 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 b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 1 b)))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* (- (* 1/2 (/ 1 (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ 1 (pow b 3))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 1 (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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) (+ (* 1/2 (/ 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]approximate: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 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 (/ (/ 1 b) 1)))) into (- (* 1/2 (/ 1 b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 (- (+ (* 1/2 (/ 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 (/ 0 1)) (* (- (* 1/2 (/ 1 b))) (/ (/ 1 b) 1)))) into (* 1/2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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 -1) into -1/2 * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 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 (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 (/ 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 (/ 0 -1)) (* (* 1/2 (/ 1 b)) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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]progress: simplifying candidates * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* PI (/ (/ 1 2) (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (log (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (log (/ (/ PI 2) (+ a b))) * * * * [misc]progress: [ 3 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* PI (/ (/ 1 2) (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (exp (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (exp (/ (/ PI 2) (+ a b))) * * * * [misc]progress: [ 4 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* PI (/ (/ 1 2) (+ a b)))) (cbrt (* PI (/ (/ 1 2) (+ a b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) * [enter]simplify: Simplifying (cbrt (* PI (/ (/ 1 2) (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (cbrt (/ (/ PI 2) (+ a b))) * * * * [misc]progress: [ 5 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* PI (/ (/ 1 2) (+ a b))) (* PI (/ (/ 1 2) (+ a b)))) (* PI (/ (/ 1 2) (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (+ a b)) 3) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (+ a b)) 3) * * * * [misc]progress: [ 6 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* PI (/ (/ 1 2) (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * [enter]simplify: Simplifying (sqrt (* PI (/ (/ 1 2) (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * * * * [misc]progress: [ 7 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (* (cbrt (/ (/ 1 2) (+ a b))) (cbrt (/ (/ 1 2) (+ a b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* (* PI (cbrt (/ (/ 1 2) (+ a b)))) (cbrt (/ (/ 1 2) (+ a b)))) * [exit]simplify: Simplified to (* (* PI (cbrt (/ (/ 1 2) (+ a b)))) (cbrt (/ (/ 1 2) (+ a b)))) * * * * [misc]progress: [ 9 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (sqrt (/ (/ 1 2) (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* PI (sqrt (/ (/ 1 2) (+ a b)))) * [exit]simplify: Simplified to (* PI (sqrt (/ (/ 1 2) (+ a b)))) * * * * [misc]progress: [ 10 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* PI (* (/ (cbrt (/ 1 2)) (cbrt (+ a b))) (/ (cbrt (/ 1 2)) (cbrt (+ a b))))) * [exit]simplify: Simplified to (* PI (* (/ (cbrt (/ 1 2)) (cbrt (+ a b))) (/ (cbrt (/ 1 2)) (cbrt (+ a b))))) * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (* PI (cbrt (/ 1 2))) (/ (cbrt (/ 1 2)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (* PI (cbrt (/ 1 2))) (/ (cbrt (/ 1 2)) (sqrt (+ a b)))) * * * * [misc]progress: [ 12 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* PI (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * [exit]simplify: Simplified to (* PI (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * * * * [misc]progress: [ 13 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (sqrt (/ 1 2)) (* (cbrt (+ a b)) (cbrt (+ a b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 2)) (cbrt (+ b a))) (/ (cbrt (+ b a)) PI)) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 2)) (cbrt (+ b a))) (/ (cbrt (+ b a)) PI)) * * * * [misc]progress: [ 14 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (sqrt (/ 1 2)) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (* PI (sqrt (/ 1 2))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (* PI (sqrt (/ 1 2))) (sqrt (+ b a))) * * * * [misc]progress: [ 15 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (sqrt (/ 1 2)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 2)) PI) * [exit]simplify: Simplified to (* (sqrt (/ 1 2)) PI) * * * * [misc]progress: [ 16 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ b a))) (cbrt (+ b a))) * * * * [misc]progress: [ 17 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * * * * [misc]progress: [ 18 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * * * * [misc]progress: [ 19 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ b a))) (cbrt (+ b a))) * * * * [misc]progress: [ 20 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * * * * [misc]progress: [ 23 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (/ 1 2) (+ (pow a 3) (pow b 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ (pow b 3) (pow a 3))) * [exit]simplify: Simplified to (/ (/ PI 2) (+ (pow b 3) (pow a 3))) * * * * [misc]progress: [ 25 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (/ 1 2) (- (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (* (- a b) 2)) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (* (- a b) 2)) * * * * [misc]progress: [ 26 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* PI (/ (/ 1 2) (+ a b)))) (log (* a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (- (log (/ (/ PI 2) (+ a b))) (log (* b a))) * [exit]simplify: Simplified to (- (log (/ (/ PI 2) (+ a b))) (log (* b a))) * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (log (/ (/ PI 2) (* (+ a b) (* b a)))) * [exit]simplify: Simplified to (log (/ (/ PI 2) (* (+ a b) (* b a)))) * * * * [misc]progress: [ 31 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (exp (/ (/ PI (* b a)) (* 2 (+ a b)))) * [exit]simplify: Simplified to (exp (/ (/ PI (* b a)) (* 2 (+ a b)))) * * * * [misc]progress: [ 32 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* PI (/ (/ 1 2) (+ a b))) (* PI (/ (/ 1 2) (+ a b)))) (* PI (/ (/ 1 2) (+ a b)))) (* (* (* a b) (* a b)) (* a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (+ a b)) (* b a)) 3) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (+ a b)) (* b a)) 3) * * * * [misc]progress: [ 33 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))) (cbrt (/ (* PI (/ (/ 1 2) (+ a b))) (* a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ PI 2) a) (* (+ a b) b))) (cbrt (/ (/ (/ PI 2) a) (* (+ a b) b)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ PI 2) a) (* (+ a b) b))) (cbrt (/ (/ (/ PI 2) a) (* (+ a b) b)))) * [enter]simplify: Simplifying (cbrt (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI 2) a) (* (+ a b) b))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI 2) a) (* (+ a b) b))) * * * * [misc]progress: [ 34 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* PI (/ (/ 1 2) (+ a b))) (* a b)) (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))) (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (* (+ a b) (* b a))) 3) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (* (+ a b) (* b a))) 3) * * * * [misc]progress: [ 35 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) a) (* (+ a b) b))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) a) (* (+ a b) b))) * [enter]simplify: Simplifying (sqrt (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) a) (* (+ a b) b))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) a) (* (+ a b) b))) * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI (/ (/ 1 2) (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (/ (- PI) (+ a b)) 2) * [exit]simplify: Simplified to (/ (/ (- PI) (+ a b)) 2) * [enter]simplify: Simplifying (- (* a b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* a (- b)) * [exit]simplify: Simplified to (* a (- b)) * * * * [misc]progress: [ 37 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [exit]simplify: Simplified to (/ PI a) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (+ a b)) b) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ 1 (* (* 2 b) (+ a b))) * [exit]simplify: Simplified to (/ 1 (* (* 2 b) (+ a b))) * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* b a)) * [exit]simplify: Simplified to (/ 1 (* b a)) * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (* PI (/ (/ 1 2) (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (* (* (/ b PI) a) (* 2 (+ b a))) * [exit]simplify: Simplified to (* (* (/ b PI) a) (* 2 (+ b a))) * * * * [misc]progress: [ 41 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI (/ (/ 1 2) (+ a b))) a) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (* a (+ a b))) * [exit]simplify: Simplified to (/ (/ PI 2) (* a (+ a b))) * * * * [misc]progress: [ 42 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ 1 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (* (* 2 b) (* a (+ b a))) * [exit]simplify: Simplified to (* (* 2 b) (* a (+ b a))) * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a b) (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (* b a) (+ b a)) * [exit]simplify: Simplified to (* (* b a) (+ b a)) * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 2)) (log (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (- (- (log 2)) (log (+ a b))) * [exit]simplify: Simplified to (- (- (log 2)) (log (+ a b))) * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1 2) (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (log (/ (/ 1 2) (+ a b))) * [exit]simplify: Simplified to (log (/ (/ 1 2) (+ a b))) * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1 2) (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (exp (/ (/ 1 2) (+ a b))) * [exit]simplify: Simplified to (exp (/ (/ 1 2) (+ a b))) * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1 2) (/ 1 2)) (/ 1 2)) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1 2) (+ b a)) 3) * [exit]simplify: Simplified to (pow (/ (/ 1 2) (+ b a)) 3) * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1 2) (+ a b))) (cbrt (/ (/ 1 2) (+ a b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1 2) (+ a b))) (cbrt (/ (/ 1 2) (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1 2) (+ a b))) (cbrt (/ (/ 1 2) (+ a b)))) * [enter]simplify: Simplifying (cbrt (/ (/ 1 2) (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 2) (+ a b))) * [exit]simplify: Simplified to (cbrt (/ (/ 1 2) (+ a b))) * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ 1 2) (+ a b)) (/ (/ 1 2) (+ a b))) (/ (/ 1 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1 2) (+ a b)) 3) * [exit]simplify: Simplified to (pow (/ (/ 1 2) (+ a b)) 3) * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 2) (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 2) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (/ 1 2) (+ a b))) * [enter]simplify: Simplifying (sqrt (/ (/ 1 2) (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 2) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (/ 1 2) (+ a b))) * * * * [misc]progress: [ 52 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) 2) * [exit]simplify: Simplified to (/ (- 1) 2) * [enter]simplify: Simplifying (- (+ a b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (- b) a) * [exit]simplify: Simplified to (- (- b) a) * * * * [misc]progress: [ 53 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 2)) (cbrt (+ b a))) (/ (cbrt (/ 1 2)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 2)) (cbrt (+ b a))) (/ (cbrt (/ 1 2)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 2)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 2)) (cbrt (+ a b))) * * * * [misc]progress: [ 54 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 2)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 2)) (sqrt (+ a b))) * * * * [misc]progress: [ 55 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) * [exit]simplify: Simplified to (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 2)) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (/ 1 2)) (+ a b)) * * * * [misc]progress: [ 56 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 2)) (cbrt (+ a b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 2)) (cbrt (+ a b))) (cbrt (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * * * * [misc]progress: [ 58 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 2)) * [exit]simplify: Simplified to (sqrt (/ 1 2)) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (+ a b)) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (+ a b)) * * * * [misc]progress: [ 59 / 86 ] 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) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ a b))) * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ a b))) * * * * [misc]progress: [ 61 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (+ a b)) * [exit]simplify: Simplified to (/ (/ 1 2) (+ a b)) * * * * [misc]progress: [ 62 / 86 ] 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) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ a b))) * * * * [misc]progress: [ 63 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ a b))) * * * * [misc]progress: [ 64 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (+ a b)) * [exit]simplify: Simplified to (/ (/ 1 2) (+ a b)) * * * * [misc]progress: [ 65 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [exit]simplify: Simplified to (/ 1 (+ a b)) * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (/ 1 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (+ b a) 2) * [exit]simplify: Simplified to (* (+ b a) 2) * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (cbrt (+ a b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (cbrt (+ a b))) (cbrt (+ a b))) * * * * [misc]progress: [ 69 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ a b))) * * * * [misc]progress: [ 70 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (cbrt (/ 1 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (+ b a) (cbrt (/ 1 2))) * [exit]simplify: Simplified to (/ (+ b a) (cbrt (/ 1 2))) * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (sqrt (/ 1 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (+ b a) (sqrt (/ 1 2))) * [exit]simplify: Simplified to (/ (+ b a) (sqrt (/ 1 2))) * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (/ 1 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (+ b a) 2) * [exit]simplify: Simplified to (* (+ b a) 2) * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (/ 1 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (+ b a) 2) * [exit]simplify: Simplified to (* (+ b a) 2) * * * * [misc]progress: [ 75 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (+ (pow a 3) (pow b 3))) * [exit]simplify: Simplified to (/ (/ 1 2) (+ (pow a 3) (pow b 3))) * * * * [misc]progress: [ 76 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (- a b)) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (- a b)) * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ a b) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (* (+ b a) 2) * [exit]simplify: Simplified to (* (+ b a) 2) * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 79 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 80 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 81 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 82 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 83 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 84 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI 0) (* a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 85 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI 0) (* a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 86 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI 0) (* a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to 0 * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 11 * [misc]none: All alts: 11 * [misc]none: Fresh alt: (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a))))) (+ b a))) * [misc]none: Fresh alt: (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))))) * [misc]none: Non-fresh alt: (λ (a b) (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))) * [misc]none: Fresh alt: (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))) * [misc]none: Fresh alt: (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))) (* a b))) * [misc]none: Fresh alt: (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))) (* a b))) * [misc]none: Fresh alt: (λ (a b) (/ (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) (* (+ (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))) * [misc]none: Fresh alt: (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* a b) (* (+ b a) (- b a))))) * [misc]none: Fresh alt: (λ (a b) (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b)))) (* a b))) * [misc]none: Fresh alt: (λ (a b) (/ (* (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b)))) (* a b))) * [misc]none: Fresh alt: (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))) * [misc]none: Fresh alt: (λ (a b) (/ 1 (/ (* a b) (/ (/ PI 2) (+ a b))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a))))) (+ b a))): 0 * [misc]none: (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))))): 1 * [misc]none: (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))): 2 * [misc]none: (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))) (* a b))): 3 * [misc]none: (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))) (* a b))): 4 * [misc]none: (λ (a b) (/ (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) (* (+ (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))): 5 * [misc]none: (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* a b) (* (+ b a) (- b a))))): 6 * [misc]none: (λ (a b) (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b)))) (* a b))): 7 * [misc]none: (λ (a b) (/ (* (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b)))) (* a b))): 8 * [misc]none: (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))): 9 * [misc]none: (λ (a b) (/ 1 (/ (* a b) (/ (/ PI 2) (+ a b))))): 10 * [misc]none: Best fresh alt per point * [misc]none: (-1.5418757249344543e-63 -1.5808149525401404e+250): 0 * [misc]none: (3.027496459540811e+165 -1.2288638190895444e-91): 9 * [misc]none: (-1.9577524593014605e+255 2.4666697643039057e+135): 0 * [misc]none: (-9.953058197226308e-231 -1.6523309537219388e+292): 0 * [misc]none: (1.4077992202573094e+157 -1.6969785717566782e-186): 9 * [misc]none: (1.2222350343583978e+196 -1.4775843798497103e-226): 8 * [misc]none: (4.042918419768235e-293 -3.2304680091420593e+273): 10 * [misc]none: (-1.2948317804463169e-282 -2.8090151520671207e+163): 9 * [misc]none: (-3.464947738442053e-155 4.004060788521414e+101): 0 * [misc]none: (5.679811834757315e+283 -6.473810795939257e+164): 1 * [misc]none: (3.588388254213374e-229 -1139547812.809111): 4 * [misc]none: (4.890275917515567e-08 -5.005096670380054e+47): 2 * [misc]none: (-1.1716631781329626e-278 2.3982589341782892e+126): 2 * [misc]none: (-1.9903644617661157e-253 -2.385315376938663e+253): 2 * [misc]none: (1.6672558556111832e-132 -5.52786254698352e+123): 2 * [misc]none: (-3.3129658515159495e+106 -2.2098708111796672e-198): 2 * [misc]none: (-2.404284016476968e+279 1.233722688499856e-260): 9 * [misc]none: (-3.5028343458937535e-90 5.227910927587319e+245): 0 * [misc]none: (-63767.21419834566 -1.7606249358192524e+273): 0 * [misc]none: (267950632.53292695 5.624641690736252e-214): 1 * [misc]none: (8.322805913504859e+214 3.2616756987284277e-94): 0 * [misc]none: (5.772678079688886e-193 -6.744341629118722e+132): 6 * [misc]none: (6.954230926244437e-248 -8.888663579267588e+145): 2 * [misc]none: (-1.2824561231119317e-43 -5.084319674250709e+292): 0 * [misc]none: (1.2017614084255727e-118 2.163051204570009e+135): 2 * [misc]none: (-9.483463323409894e+83 1.3207468552144425e-275): 0 * [misc]none: (1.2439278636891217e+233 1.1524614864139226e-160): 3 * [misc]none: (1.5181493189729785e-210 2.5055367778394023e+168): 9 * [misc]none: (161620833577619.34 2.9543484210487e+68): 0 * [misc]none: (-4.0220565746330086e+125 -1.6011896215578737e-278): 6 * [misc]none: (-1.279384825639919e+218 -4.0734910927239613e+279): 1 * [misc]none: (4.849304008883996e+136 -1.9158965524986357e+21): 2 * [misc]none: (-1.0078494497283481e-63 -4.666260546447364e-94): 0 * [misc]none: (7.089677021982108e+243 5.396180940081133e+274): 1 * [misc]none: (-1.0374694539724338e-22 3.1474503815022313e+156): 3 * [misc]none: (2.237363577109642e+74 1.6588937679962464e-112): 3 * [misc]none: (3.192528639732453e+177 -5.90661572185385e+255): 1 * [misc]none: (-4.3665826438370466e+132 -1.0295936791749538e-299): 1 * [misc]none: (-2.3878879079615316e+176 -2.7604299366199517e-300): 9 * [misc]none: (-7.185580883046913e-107 -9.568148082725508e-90): 2 * [misc]none: (1.8269212298308998e+214 1789977963981.046): 0 * [misc]none: (-1.7899154283931006e-62 1.6281717766697912e+39): 2 * [misc]none: (3.5243641367880456e+86 -3.0008256032154172e-176): 0 * [misc]none: (-7.986330642950897e-117 1.1611754700502491e-55): 0 * [misc]none: (8.728226238434233e-64 -1.6133455999823373e+110): 2 * [misc]none: (-3.9890484917100117e+257 -1.5117832743647305e-21): 0 * [misc]none: (-4.026134204708055e+160 2.281413649637054e-166): 9 * [misc]none: (-1.65054043818576e-39 -1.0058709145515093e+290): 0 * [misc]none: (-0.15058815983267834 3.714800492587865e+85): 5 * [misc]none: (-4.7089063680709754e+260 4.344802098601123e-298): 2 * [misc]none: (4.508329239962989e+257 -1.211264682641895e-292): 2 * [misc]none: (1.0495684746531957e+167 2.721003254105153e-81): 2 * [misc]none: (-3.0671153252781823e-63 -7.74362334743424e+32): 0 * [misc]none: (-2.2376851712564295e-118 1.64239269831532e+149): 2 * [misc]none: (-1.576948173228613e+33 9.680698928511806e-32): 0 * [misc]none: (1.954959341132994e-252 -7.83347153590065e-06): 0 * [misc]none: (5.521334390623478e-06 -3.229654932887624e+201): 0 * [misc]none: (-9.906575581428813e+195 7.10957194421701e+200): 1 * [misc]none: (-4.7756557550151386e+160 2.4256946179069016e+78): 0 * [misc]none: (6.207394963032113e+30 -7.218692088264328e+54): 2 * [misc]none: 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(-9.30868828487235e-242 7.865810923274834e+251): 2 * [misc]none: (-1.977339157633397e-22 -12396.634829186376): 5 * [misc]none: (2.0737883409435182e-60 8.938208620266642e-81): 0 * [misc]none: (-1.0125994980022202e+121 9.949795070357293e-13): 2 * [misc]none: (3.9753155304068916e+192 -1.5751944823937151e-208): 7 * [misc]none: (-5.711690539427335e-292 2.0698086438592394e+99): 0 * [misc]none: (8.149794087375897e+77 1.4399038101240658e-157): 9 * [misc]none: (-0.0033935472374883513 -1.873060887288803e+204): 0 * [misc]none: (6.486236446634097e-143 -6.777569686362558e+23): 2 * [misc]none: (-3.976258322985434e+241 1.0713666056080785e-84): 0 * [misc]none: (-1.4481584190101499e-109 1.8890847145741933e+54): 9 * [misc]none: (5.334416108525731e+103 8.243928876632343e+120): 0 * [misc]none: (4.915746009665795e+153 -1.2716911445748643e-294): 4 * [misc]none: (-1.178199525484178e+291 -2.616452914461827e+123): 0 * [misc]none: (-1.3552545859518693e-149 1.0769411808120101e+237): 0 * [misc]none: (2.7212207505395135e+138 -1.7192030807828345e+260): 0 * [misc]none: (-3.070590530502344e+254 4.3361011341035273e+108): 0 * [misc]none: (-7.078347720981057e+296 -1.1633032638785635e+290): 1 * [misc]none: (-2.3832835734274537e-77 -2.0550237535049573e-58): 0 * [misc]none: (3.3652051120813564e-167 -1.6071108269264857e+240): 2 * [misc]none: (-7.605291673043568e+86 1.3555181915244097e+58): 5 * [misc]none: (5.535572593369702e+234 1.1281253812481777e-05): 0 * [misc]none: (-7.875416682732296e+153 2.953059473116585e-77): 1 * [misc]none: (-1.7943678282584236e+305 -8.253144371362014e+269): 1 * [misc]none: (1.6962188327979892e+156 -3.0357430466827192e+202): 1 * [misc]none: (7.526837789610841e+223 -1.0160940285787676e+119): 0 * [misc]none: (-4.474252265840201e+73 1.3833425279814779e+61): 0 * [misc]none: (-4.807303049624254e-15 1.8641906072853124e-122): 0 * [misc]none: (1.5464847509065313e+116 -7.218711869488973e-243): 1 * [misc]none: (-587327855578134.2 -3.1846212263600816e-18): 0 * [misc]none: 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(1.0367654190214238e+155 7.510167254913154e-75): 9 * [misc]none: (-1.879438806525893e-17 -2.2458375637103902e-132): 0 * [misc]none: (-9.791675790911144e+50 5.462119320563526e+16): 6 * [misc]none: (-7.461408405072584e-11 2.819362408294866e+247): 0 * [misc]none: (5.576422555370537e+229 -1.2634592988240547e+184): 1 * [misc]none: (-2.046312445248254e+167 -2.5768688170454604e-166): 2 * [misc]none: (-2.3695265370701153e-160 5.627370989949808e+102): 0 * [misc]none: (1.268161462925599e-223 1.8558602765266175e+154): 7 * [misc]none: (-3.8061627632242695e+220 1.4601547257514377e-37): 0 * [misc]none: (6.851358071879168e+277 -1.4026731237337527e+299): 1 * [misc]none: (-1.8322924530722165e+176 2.6481468427206757e-89): 2 * [misc]none: (1.8304705420573128e+300 5.162437418074754e-216): 0 * [misc]none: (5.884862647618943e+102 1.3917287586797797e+215): 0 * [misc]none: (-1.9484215729108895e+208 2.7534373406057187e+274): 1 * [misc]none: (-6.754823491493555e-24 -2.4266153803656513e-110): 6 * [misc]none: 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(-2.439121548558237e-263 7.971191617216227e+278): 2 * [misc]none: (-5.16988167177608e+53 2.6969709464868204e+192): 0 * [misc]none: (-3.288801652693557e-126 -1.1724467728438874e+62): 4 * [misc]none: (2.4787821728961726e-208 -4.583226060750687e+286): 0 * [misc]none: (4.5505475745463453e+70 -4.7627047558420924e-178): 0 * [misc]none: (9.818158704343799e+98 1.0173157545581e-152): 1 * [misc]none: (-2.7755596952545536e+214 -6.937852684341488e-17): 0 * [misc]none: (-1.102805383752407e+91 -1.1833316978686804e-196): 2 * [misc]none: (-2.074828050091204e+43 -1.6730371273659853e+134): 1 * [misc]none: (7.03833207774333e+15 -1.3239959970038969e+98): 7 * [misc]none: (1.37725435443438e-133 2.7744697188841963e+109): 2 * [misc]none: (-6.937438758466827e-192 -3.3253159094181508e+99): 0 * [misc]none: (1.3198936947099211e-96 -1.5451834902703197e-42): 2 * [misc]none: (-1.7726057829102443e-75 2.332651968655402e-142): 1 * [misc]none: (-1.0504139891547427e+112 1.714387790028798e+53): 5 * [misc]none: (1.0835466360416472e+257 2.2433259629035416e-110): 0 * [misc]none: (-1.2604014885172566e-16 -3.533444382159577e+294): 0 * [misc]none: (4.163796059008999e+263 9.568517745632325e+214): 1 * [misc]none: (2.9372247799245325e+93 3.280888101399023e-178): 2 * [misc]none: (2.4645417753990825e-46 1.1531681692158285e+126): 3 * [misc]none: (-2.094542504845539e+96 3.658887962688304e-221): 2 * [misc]none: (-3194.11813336966 3.8921610463731365e-84): 0 * [misc]none: (-8.851204171241843e+281 -9.262519032529967e-34): 0 * [misc]none: (-1.785130886221006e+231 5.244418714777191e-247): 2 * [misc]none: (-1.1047298144911661e-128 -3.806792758567173e-77): 1 * [misc]none: (8.483535156875368e-302 -1.345613125533753e+279): 2 * [misc]none: (-1.8508777881935605e+151 -0.0006673038257262197): 1 * [misc]none: (2.8621091346925045e-294 1.532108192832722e+128): 4 * [misc]none: (-5.0502610074661083e+207 3.789685423350582e-08): 0 * [misc]none: (-1.2565837085170136e-39 1.762534146009323e+140): 4 * [misc]none: (9.107018310586045e+54 -2.971342031183356e+89): 9 * [misc]none: (-1.6718446752859893e+111 4.918436108504659e-301): 2 * [misc]none: (-2.0718283319643413e+202 -1.6194758145392415e-55): 0 * [misc]none: (1.6691081971097037e+94 -7.498270199484197e+128): 0 * [misc]none: (2.7394548302027227e-88 -3.8474489635359294e+91): 2 * [misc]none: (3.118009484335783e-104 -5.8304170084179074e-46): 1 * [misc]none: (-2.67503022703027e-297 -2.5128760687731143e+95): 0 * [misc]none: (8995869217554.457 -1.9632140373363783e+122): 5 * [misc]none: (2.01314860958205e-179 4.1821161712206335e+98): 2 * [misc]none: (-6.0258374336189325e+121 1.241885419647938e+111): 0 * [misc]none: (3.5248326356674874e-60 -185563564389128.0): 5 * [misc]none: (2.5937923840174148e+191 2.0634010725481968e+279): 1 * [misc]none: (-6.71288738518563e+35 -1.3468517163131261e+272): 0 * [misc]none: (3.7544706354148685e+249 -5.537735150627702e+213): 1 * [misc]none: (1.946944651699716e-139 6.333153678225876e-68): 4 * [misc]none: (8.70336562916574e-216 7.84549397492709e+169): 2 * [misc]none: (6363.313367940982 -1.977991260671615e-272): 0 * [misc]none: (7.762114448443534e+255 1.682179526351612e+60): 0 * [misc]none: (1.3399459123824423e-08 -2.0088395627297287e+293): 0 * [misc]none: (-2.0811417072211844e+239 -2.4464470346425223e-307): 2 * [misc]none: (-4.345326241698038e-278 5.823432666941199e+232): 4 * [misc]none: (-3.1969871529936574e+166 3.226368417375545e+273): 1 * [misc]none: (3.982342803919231e-46 -1.1442254260677068e-38): 2 * [misc]none: (-1.1682833194119885e+290 1.7119636201650242e-68): 0 * [misc]none: (5.22304174043592e-158 -3.807000870050907e+58): 9 * [misc]none: (-1.6925574577510237e+214 8.377477023109926e-106): 2 * [misc]none: (2.3080855823624493e-299 4.50326449267665e+246): 2 * [misc]none: (-1.3788511600691207e+143 -9.563665845262864e+134): 0 * [misc]none: (-4.34857343156037e+281 6.2285928439400495e+156): 1 * [misc]none: (0.002518103001908201 2.819308104709626e+146): 2 * [misc]none: (-4.0300440872978227e-184 1.4105181521169557e+85): 6 * [misc]none: All alt indexes * [misc]none: (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a))))) (+ b a))): 0 * [misc]none: (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))))): 1 * [misc]none: (λ (a b) (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))): 2 * [misc]none: (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))): 3 * [misc]none: (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))) (* a b))): 4 * [misc]none: (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))) (* a b))): 5 * [misc]none: (λ (a b) (/ (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) (* (+ (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))): 6 * [misc]none: (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* a b) (* (+ b a) (- b a))))): 7 * [misc]none: (λ (a b) (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b)))) (* a b))): 8 * [misc]none: (λ (a b) (/ (* (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b)))) (* a b))): 9 * [misc]none: (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))): 10 * [misc]none: (λ (a b) (/ 1 (/ (* a b) (/ (/ PI 2) (+ a b))))): 11 * [misc]none: Best alt per point * [misc]none: (-1.5418757249344543e-63 -1.5808149525401404e+250): 0 * [misc]none: (3.027496459540811e+165 -1.2288638190895444e-91): 2 * [misc]none: (-1.9577524593014605e+255 2.4666697643039057e+135): 0 * [misc]none: (-9.953058197226308e-231 -1.6523309537219388e+292): 0 * [misc]none: (1.4077992202573094e+157 -1.6969785717566782e-186): 10 * [misc]none: (1.2222350343583978e+196 -1.4775843798497103e-226): 9 * [misc]none: (4.042918419768235e-293 -3.2304680091420593e+273): 11 * [misc]none: (-1.2948317804463169e-282 -2.8090151520671207e+163): 2 * [misc]none: (-3.464947738442053e-155 4.004060788521414e+101): 2 * [misc]none: (5.679811834757315e+283 -6.473810795939257e+164): 1 * [misc]none: (3.588388254213374e-229 -1139547812.809111): 5 * [misc]none: (4.890275917515567e-08 -5.005096670380054e+47): 2 * [misc]none: (-1.1716631781329626e-278 2.3982589341782892e+126): 3 * [misc]none: (-1.9903644617661157e-253 -2.385315376938663e+253): 3 * [misc]none: (1.6672558556111832e-132 -5.52786254698352e+123): 3 * [misc]none: (-3.3129658515159495e+106 -2.2098708111796672e-198): 2 * [misc]none: (-2.404284016476968e+279 1.233722688499856e-260): 10 * [misc]none: (-3.5028343458937535e-90 5.227910927587319e+245): 0 * [misc]none: (-63767.21419834566 -1.7606249358192524e+273): 0 * [misc]none: (267950632.53292695 5.624641690736252e-214): 1 * [misc]none: (8.322805913504859e+214 3.2616756987284277e-94): 0 * [misc]none: (5.772678079688886e-193 -6.744341629118722e+132): 2 * [misc]none: (6.954230926244437e-248 -8.888663579267588e+145): 2 * [misc]none: (-1.2824561231119317e-43 -5.084319674250709e+292): 0 * [misc]none: (1.2017614084255727e-118 2.163051204570009e+135): 2 * [misc]none: (-9.483463323409894e+83 1.3207468552144425e-275): 0 * [misc]none: (1.2439278636891217e+233 1.1524614864139226e-160): 4 * [misc]none: (1.5181493189729785e-210 2.5055367778394023e+168): 10 * [misc]none: (161620833577619.34 2.9543484210487e+68): 0 * [misc]none: (-4.0220565746330086e+125 -1.6011896215578737e-278): 7 * [misc]none: (-1.279384825639919e+218 -4.0734910927239613e+279): 1 * [misc]none: (4.849304008883996e+136 -1.9158965524986357e+21): 2 * [misc]none: (-1.0078494497283481e-63 -4.666260546447364e-94): 0 * [misc]none: (7.089677021982108e+243 5.396180940081133e+274): 1 * [misc]none: (-1.0374694539724338e-22 3.1474503815022313e+156): 2 * [misc]none: (2.237363577109642e+74 1.6588937679962464e-112): 2 * [misc]none: (3.192528639732453e+177 -5.90661572185385e+255): 1 * [misc]none: (-4.3665826438370466e+132 -1.0295936791749538e-299): 1 * [misc]none: (-2.3878879079615316e+176 -2.7604299366199517e-300): 2 * [misc]none: (-7.185580883046913e-107 -9.568148082725508e-90): 3 * [misc]none: (1.8269212298308998e+214 1789977963981.046): 0 * [misc]none: (-1.7899154283931006e-62 1.6281717766697912e+39): 2 * [misc]none: (3.5243641367880456e+86 -3.0008256032154172e-176): 0 * [misc]none: (-7.986330642950897e-117 1.1611754700502491e-55): 0 * [misc]none: (8.728226238434233e-64 -1.6133455999823373e+110): 3 * [misc]none: (-3.9890484917100117e+257 -1.5117832743647305e-21): 0 * [misc]none: (-4.026134204708055e+160 2.281413649637054e-166): 10 * [misc]none: (-1.65054043818576e-39 -1.0058709145515093e+290): 0 * [misc]none: (-0.15058815983267834 3.714800492587865e+85): 6 * [misc]none: (-4.7089063680709754e+260 4.344802098601123e-298): 2 * [misc]none: (4.508329239962989e+257 -1.211264682641895e-292): 2 * [misc]none: (1.0495684746531957e+167 2.721003254105153e-81): 3 * [misc]none: (-3.0671153252781823e-63 -7.74362334743424e+32): 0 * [misc]none: (-2.2376851712564295e-118 1.64239269831532e+149): 2 * [misc]none: (-1.576948173228613e+33 9.680698928511806e-32): 0 * [misc]none: (1.954959341132994e-252 -7.83347153590065e-06): 0 * [misc]none: (5.521334390623478e-06 -3.229654932887624e+201): 0 * [misc]none: (-9.906575581428813e+195 7.10957194421701e+200): 1 * [misc]none: (-4.7756557550151386e+160 2.4256946179069016e+78): 0 * [misc]none: (6.207394963032113e+30 -7.218692088264328e+54): 3 * [misc]none: (8.781920275794267e+61 3.5618749791650757e+87): 3 * [misc]none: (4.9372470656494625e-201 1.4446355009900792e+23): 0 * [misc]none: (-3.5082856951249954e-122 9.917487178181935e-54): 3 * [misc]none: (-7.01049497494046e-138 3.841494064694043e+276): 0 * [misc]none: (3.642806409692576e+70 -3.326243684234595e+241): 0 * [misc]none: (-7.587678445119084e+247 1.518078533135906e+61): 0 * [misc]none: (1.5052438492777668e+214 1.5460201380138582e-108): 2 * [misc]none: (6.354924490516637e-174 1.1935837539207151e+36): 2 * [misc]none: (-1.6901036379481523e+68 5.558607723763576e+296): 0 * [misc]none: (-5129.844514220037 -8.518839978003416e+199): 0 * [misc]none: (5.0618502549145104e+216 -2.0899529309308688e-173): 2 * [misc]none: (-1.3078423091955545e+95 8.726419779901594e-156): 0 * [misc]none: (1.5484790382727637e+258 2.2758369496030736e+44): 0 * [misc]none: (2.7646272679971947e+138 1.8029164814151534e-305): 2 * [misc]none: (-8.140052952226443e-29 -3.868827374468717e+273): 0 * [misc]none: (-9.30868828487235e-242 7.865810923274834e+251): 2 * [misc]none: (-1.977339157633397e-22 -12396.634829186376): 6 * [misc]none: (2.0737883409435182e-60 8.938208620266642e-81): 0 * [misc]none: (-1.0125994980022202e+121 9.949795070357293e-13): 2 * [misc]none: (3.9753155304068916e+192 -1.5751944823937151e-208): 8 * [misc]none: (-5.711690539427335e-292 2.0698086438592394e+99): 0 * [misc]none: (8.149794087375897e+77 1.4399038101240658e-157): 2 * [misc]none: (-0.0033935472374883513 -1.873060887288803e+204): 0 * [misc]none: (6.486236446634097e-143 -6.777569686362558e+23): 2 * [misc]none: (-3.976258322985434e+241 1.0713666056080785e-84): 0 * [misc]none: (-1.4481584190101499e-109 1.8890847145741933e+54): 10 * [misc]none: (5.334416108525731e+103 8.243928876632343e+120): 0 * [misc]none: (4.915746009665795e+153 -1.2716911445748643e-294): 2 * [misc]none: (-1.178199525484178e+291 -2.616452914461827e+123): 0 * [misc]none: (-1.3552545859518693e-149 1.0769411808120101e+237): 0 * [misc]none: (2.7212207505395135e+138 -1.7192030807828345e+260): 0 * [misc]none: (-3.070590530502344e+254 4.3361011341035273e+108): 0 * [misc]none: (-7.078347720981057e+296 -1.1633032638785635e+290): 1 * [misc]none: (-2.3832835734274537e-77 -2.0550237535049573e-58): 0 * [misc]none: (3.3652051120813564e-167 -1.6071108269264857e+240): 2 * [misc]none: (-7.605291673043568e+86 1.3555181915244097e+58): 2 * [misc]none: (5.535572593369702e+234 1.1281253812481777e-05): 0 * [misc]none: (-7.875416682732296e+153 2.953059473116585e-77): 1 * [misc]none: (-1.7943678282584236e+305 -8.253144371362014e+269): 1 * [misc]none: (1.6962188327979892e+156 -3.0357430466827192e+202): 1 * [misc]none: (7.526837789610841e+223 -1.0160940285787676e+119): 0 * [misc]none: (-4.474252265840201e+73 1.3833425279814779e+61): 0 * [misc]none: (-4.807303049624254e-15 1.8641906072853124e-122): 0 * [misc]none: (1.5464847509065313e+116 -7.218711869488973e-243): 1 * [misc]none: (-587327855578134.2 -3.1846212263600816e-18): 0 * [misc]none: (4.242186305736945e+277 7.288958178428041e-256): 2 * [misc]none: (5.409384226193089e+76 -2.319372457341872e-287): 3 * [misc]none: (4.187380162585325e-193 -1.32843112383632e+222): 2 * [misc]none: (-1.1299275128362188e+120 6.659322155044152e+223): 0 * [misc]none: (-2.5903554766194963e+287 -7.84381588726745e-44): 0 * [misc]none: (2.623583837461381e+148 -4.810065069789271e-38): 3 * [misc]none: (1.6579472731822137e+209 7.148125858281279e-128): 2 * [misc]none: (-1.1410424941898917e-307 -7.884101440606108e+43): 11 * [misc]none: (3.2782900783384907e+260 1.2654023023741973e+87): 0 * [misc]none: (5.3297020297971135e-251 4.360233270161975e+69): 0 * [misc]none: (-1.2973858626691246e+248 -1.3038350073216301e+175): 1 * [misc]none: (-3.1670246594447204e-244 -4.944977315465704e+134): 7 * [misc]none: (5.338353252944482e+295 2.475773952907049e-271): 2 * [misc]none: (5.261531518469373e-290 2.555657911489638e+100): 3 * [misc]none: (2.1545947154827896e+229 2.6209188754640728e+107): 0 * [misc]none: (1.0367654190214238e+155 7.510167254913154e-75): 2 * [misc]none: (-1.879438806525893e-17 -2.2458375637103902e-132): 0 * [misc]none: (-9.791675790911144e+50 5.462119320563526e+16): 2 * [misc]none: (-7.461408405072584e-11 2.819362408294866e+247): 0 * [misc]none: (5.576422555370537e+229 -1.2634592988240547e+184): 1 * [misc]none: (-2.046312445248254e+167 -2.5768688170454604e-166): 2 * [misc]none: (-2.3695265370701153e-160 5.627370989949808e+102): 0 * [misc]none: (1.268161462925599e-223 1.8558602765266175e+154): 2 * [misc]none: (-3.8061627632242695e+220 1.4601547257514377e-37): 0 * [misc]none: (6.851358071879168e+277 -1.4026731237337527e+299): 1 * [misc]none: (-1.8322924530722165e+176 2.6481468427206757e-89): 2 * [misc]none: (1.8304705420573128e+300 5.162437418074754e-216): 0 * [misc]none: (5.884862647618943e+102 1.3917287586797797e+215): 0 * [misc]none: (-1.9484215729108895e+208 2.7534373406057187e+274): 1 * [misc]none: (-6.754823491493555e-24 -2.4266153803656513e-110): 2 * [misc]none: (2.802805856656922e+299 3267744482859.4893): 0 * [misc]none: (-2.125403821003621e+259 -5.821161027096475e-49): 0 * [misc]none: (-2.4642361000377723e+179 -223338690.5739434): 0 * [misc]none: (2.617385806499904e-208 6.454193966659965e-12): 0 * [misc]none: (1.2843486366644783e+218 1.6598105327534946e+245): 1 * [misc]none: (-2.2565106546246065e+111 -8.921793657844595e+241): 0 * [misc]none: (-1.2504926677350782e+286 2142884768423.9766): 0 * [misc]none: (6.352964037059704e-48 2.0675888684205106e-37): 2 * [misc]none: (1.7860466700053246e+179 -2.1540953112813662e-178): 2 * [misc]none: (-1.1984894069610523e-255 2.286904329311883e+176): 2 * [misc]none: (-3.0869297245392077e+307 -7.242911167116891e-28): 0 * [misc]none: (-3.652961257321153e+269 -1.981435962910265e-248): 8 * [misc]none: (1.434478809327731e-162 1.7673263201240207e+200): 3 * [misc]none: (4.1358060479750856e+163 2.77377213114978e+181): 1 * [misc]none: (1.5437232098269186e+160 -5.1984298768145166e+116): 0 * [misc]none: (-1.2768311469464077e-95 -4.0802892718556596e+97): 6 * [misc]none: (-4.502005664483894e-90 -1.3669353810280968e+130): 7 * [misc]none: (3.5925206879521377e-169 -1.3877894503805502e+162): 2 * [misc]none: (3.851639943546658e-220 7.262940842293714e+141): 1 * [misc]none: (1.5786239562667337e+192 -1.646250865837071e-08): 0 * [misc]none: (1175954691713314.2 1.6505576250215693e+254): 0 * [misc]none: (-8.454483141733306e+289 3.2999709724191907e-111): 0 * [misc]none: (-6.317430000587058e+24 -4.671984247068368e+114): 10 * [misc]none: (-2.9619260441588295e+211 -7.22878673519174e-279): 2 * [misc]none: (-3.759430214395936e-120 -1.445629235880647e+140): 2 * [misc]none: (2.1262474173228004e+275 2.0609285567281652e-241): 2 * [misc]none: (1.9640202737101926e+158 4.0355590295024944e+30): 0 * [misc]none: (-3.1297081963080297e-242 8.94051254019841e+73): 0 * [misc]none: (-1.0418876601412776e+158 1.334212127520659e-194): 11 * [misc]none: (2.3042294780211474e+199 -0.1449571473562267): 0 * [misc]none: (-1.322393042309631e-287 331.0762921520269): 2 * [misc]none: (2.486727752761897e+186 6.1692613790114145e-176): 2 * [misc]none: (1.6628640493696272e+86 -1.5025592441357432e-91): 2 * [misc]none: (2.3621708607435707e+306 -2.12081898299509e-251): 0 * [misc]none: (-4.444969967255464e-50 -7.309457855467372e+172): 2 * [misc]none: (-5.496412463214942e+159 -1.4721600470373534e-29): 3 * [misc]none: (-3.123985774571585e+305 4.3713778543032466e+80): 0 * [misc]none: (9.77689775396416e+270 -3.9142022803361806e-187): 0 * [misc]none: (-5.65740503188699e+260 5.701436151254667e-51): 0 * [misc]none: (-4.0509904466518765e-37 -6.2678543781187986e-158): 2 * [misc]none: (2.6870891996869854e+222 1.403842517343178e+239): 1 * [misc]none: (-4.523272375047282e+19 -3.133147621079016e+299): 0 * [misc]none: (-3.1263201082196465e-277 4.562606033317646e+142): 2 * [misc]none: (2.1157410136365666e+27 1.7344997138936077e-42): 7 * [misc]none: (-3.913559470208424e-83 -2.9867969528063676e+265): 0 * [misc]none: (3.0173777232564683e+257 1.4365336082533024e-65): 0 * [misc]none: (7.3222795686052666e+50 -9.290387573799883e-227): 0 * [misc]none: (-9.568307378321542e-67 3.826389705571192e+305): 0 * [misc]none: (1945731255459.47 3.4149900413992998e-118): 3 * [misc]none: (-3.9457481405050707e-140 -3.8831186001124554e+177): 2 * [misc]none: (3.9566905915205435e+222 -4.045276803805828e+248): 1 * [misc]none: (2.0407374713985817e-67 6.798712177335776e+112): 1 * [misc]none: (-1.7506244038659656e+155 -5.551664099930396e+287): 1 * [misc]none: (1.622208144463601e-166 -8.556050344850203e+96): 2 * [misc]none: (-1.7889344297298395e-138 8.336613082028674e+83): 0 * [misc]none: (-5.612374503803972e+191 2.208377572236396e-264): 2 * [misc]none: (1.625924245506842e+101 3.6974324674576528e-196): 0 * [misc]none: (1.194352601301008e+170 -1.2990710049317618e+149): 0 * [misc]none: (-7.565112997028972e+159 1.1658351917668372e+172): 1 * [misc]none: (1.3349160645071676e+249 2.931040211928409e-256): 3 * [misc]none: (-2.439121548558237e-263 7.971191617216227e+278): 2 * [misc]none: (-5.16988167177608e+53 2.6969709464868204e+192): 0 * [misc]none: (-3.288801652693557e-126 -1.1724467728438874e+62): 5 * [misc]none: (2.4787821728961726e-208 -4.583226060750687e+286): 0 * [misc]none: (4.5505475745463453e+70 -4.7627047558420924e-178): 0 * [misc]none: (9.818158704343799e+98 1.0173157545581e-152): 1 * [misc]none: (-2.7755596952545536e+214 -6.937852684341488e-17): 0 * [misc]none: (-1.102805383752407e+91 -1.1833316978686804e-196): 2 * [misc]none: (-2.074828050091204e+43 -1.6730371273659853e+134): 1 * [misc]none: (7.03833207774333e+15 -1.3239959970038969e+98): 8 * [misc]none: (1.37725435443438e-133 2.7744697188841963e+109): 3 * [misc]none: (-6.937438758466827e-192 -3.3253159094181508e+99): 0 * [misc]none: (1.3198936947099211e-96 -1.5451834902703197e-42): 3 * [misc]none: (-1.7726057829102443e-75 2.332651968655402e-142): 1 * [misc]none: (-1.0504139891547427e+112 1.714387790028798e+53): 6 * [misc]none: (1.0835466360416472e+257 2.2433259629035416e-110): 0 * [misc]none: (-1.2604014885172566e-16 -3.533444382159577e+294): 0 * [misc]none: (4.163796059008999e+263 9.568517745632325e+214): 1 * [misc]none: (2.9372247799245325e+93 3.280888101399023e-178): 3 * [misc]none: (2.4645417753990825e-46 1.1531681692158285e+126): 2 * [misc]none: (-2.094542504845539e+96 3.658887962688304e-221): 3 * [misc]none: (-3194.11813336966 3.8921610463731365e-84): 0 * [misc]none: (-8.851204171241843e+281 -9.262519032529967e-34): 0 * [misc]none: (-1.785130886221006e+231 5.244418714777191e-247): 2 * [misc]none: (-1.1047298144911661e-128 -3.806792758567173e-77): 1 * [misc]none: (8.483535156875368e-302 -1.345613125533753e+279): 3 * [misc]none: (-1.8508777881935605e+151 -0.0006673038257262197): 1 * [misc]none: (2.8621091346925045e-294 1.532108192832722e+128): 5 * [misc]none: (-5.0502610074661083e+207 3.789685423350582e-08): 0 * [misc]none: (-1.2565837085170136e-39 1.762534146009323e+140): 2 * [misc]none: (9.107018310586045e+54 -2.971342031183356e+89): 10 * [misc]none: (-1.6718446752859893e+111 4.918436108504659e-301): 2 * [misc]none: (-2.0718283319643413e+202 -1.6194758145392415e-55): 0 * [misc]none: (1.6691081971097037e+94 -7.498270199484197e+128): 0 * [misc]none: (2.7394548302027227e-88 -3.8474489635359294e+91): 3 * [misc]none: (3.118009484335783e-104 -5.8304170084179074e-46): 1 * [misc]none: (-2.67503022703027e-297 -2.5128760687731143e+95): 0 * [misc]none: (8995869217554.457 -1.9632140373363783e+122): 6 * [misc]none: (2.01314860958205e-179 4.1821161712206335e+98): 2 * [misc]none: (-6.0258374336189325e+121 1.241885419647938e+111): 0 * [misc]none: (3.5248326356674874e-60 -185563564389128.0): 2 * [misc]none: (2.5937923840174148e+191 2.0634010725481968e+279): 1 * [misc]none: (-6.71288738518563e+35 -1.3468517163131261e+272): 0 * [misc]none: (3.7544706354148685e+249 -5.537735150627702e+213): 1 * [misc]none: (1.946944651699716e-139 6.333153678225876e-68): 5 * [misc]none: (8.70336562916574e-216 7.84549397492709e+169): 2 * [misc]none: (6363.313367940982 -1.977991260671615e-272): 0 * [misc]none: (7.762114448443534e+255 1.682179526351612e+60): 0 * [misc]none: (1.3399459123824423e-08 -2.0088395627297287e+293): 0 * [misc]none: (-2.0811417072211844e+239 -2.4464470346425223e-307): 3 * [misc]none: (-4.345326241698038e-278 5.823432666941199e+232): 2 * [misc]none: (-3.1969871529936574e+166 3.226368417375545e+273): 1 * [misc]none: (3.982342803919231e-46 -1.1442254260677068e-38): 2 * [misc]none: (-1.1682833194119885e+290 1.7119636201650242e-68): 0 * [misc]none: (5.22304174043592e-158 -3.807000870050907e+58): 2 * [misc]none: (-1.6925574577510237e+214 8.377477023109926e-106): 2 * [misc]none: (2.3080855823624493e-299 4.50326449267665e+246): 2 * [misc]none: (-1.3788511600691207e+143 -9.563665845262864e+134): 0 * [misc]none: (-4.34857343156037e+281 6.2285928439400495e+156): 1 * [misc]none: (0.002518103001908201 2.819308104709626e+146): 2 * [misc]none: (-4.0300440872978227e-184 1.4105181521169557e+85): 2 * [misc]none: Picked alt (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 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: [ 2 / 4 ] generating series at (2 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: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ b a)) 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 (+ 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 (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ (- PI) a) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 (- a)) into (/ -1/2 a) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ b a)) 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 (+ 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 (+ PI 0) into PI * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 b) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ b a)) 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 (+ 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 (+ PI 0) into PI * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 b) into (/ 1/2 b) * [misc]backup-simplify: Simplify (* (/ PI b) (/ 1/2 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]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 (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ -1 b)))) into (* 1/2 (/ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ 1 b)))) into (- (* 2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* (/ PI b) (* 1/2 (/ 1 (pow b 2)))) (* (- (* 2 (/ PI (pow b 2)))) (/ 1/2 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]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 (- (/ 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 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* (* 1/2 (/ 1 (pow b 2))) (/ -1 b)))) into (* 1/2 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2 (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (+ (* (/ PI b) (* 1/2 (/ 1 (pow b 3)))) (+ (* (- (* 2 (/ PI (pow b 2)))) (* 1/2 (/ 1 (pow b 2)))) (* (* 2 (/ PI (pow b 3))) (/ 1/2 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]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 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 (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 b) (/ 1 a))) 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 (* PI a) * [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 (+ (/ 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 (+ (* PI a) 0) into (* PI a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* PI a) 1) into (* PI a) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 b) (/ 1 a))) 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 (* 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 (- (* PI b)) into (- (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (* PI b))) into (- (* PI b)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* PI b)) 1) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 b) (/ 1 a))) 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 (* 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 (- (* PI b)) into (- (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (* PI b))) into (- (* PI b)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* PI b)) 1) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 -1) into -1/2 * [misc]backup-simplify: Simplify (* (* -1 (* PI b)) -1/2) 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 (- (+ (* 1/2 (/ 0 2)))) 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 (- (/ 0 -1) (+ (* -1/2 (/ (/ 1 b) -1)))) into (- (* 1/2 (/ 1 b))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ PI 1) (+ (* (* -1 (* PI b)) (/ (/ 1 b) 1)))) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* (* -1 (* PI b)) (- (* 1/2 (/ 1 b)))) (* (* 2 PI) -1/2)) 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 (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* (- (* 1/2 (/ 1 b))) (/ (/ 1 b) -1)))) into (- (* 1/2 (/ 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)) (+ (* (* PI 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 (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (* PI b)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI b))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* PI b)) (- (* 1/2 (/ 1 (pow b 2))))) (+ (* (* 2 PI) (- (* 1/2 (/ 1 b)))) (* (- (* 2 (/ PI b))) -1/2))) 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 (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) 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 (* PI a)) * [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 (+ (/ 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 (* PI a)) 0) into (- (* PI a)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* PI a)) -1) into (* PI a) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) 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 (* 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 (* PI b))) into (* PI b) * [misc]backup-simplify: Simplify (+ 0 (* PI b)) into (* PI b) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* PI b) -1) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) 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 (* 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 (* PI b))) into (* PI b) * [misc]backup-simplify: Simplify (+ 0 (* PI b)) into (* PI b) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* PI b) -1) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 1) into 1/2 * [misc]backup-simplify: Simplify (* (* -1 (* PI b)) 1/2) 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 (- (+ (* 1/2 (/ 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) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ (- (/ 1 b)) 1)))) into (* 1/2 (/ 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 (* PI b)) (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- PI) -1) (+ (* (* -1 (* PI b)) (/ (- (/ 1 b)) -1)))) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* (* -1 (* PI b)) (* 1/2 (/ 1 b))) (* (* 2 PI) 1/2)) 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 (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* (* 1/2 (/ 1 b)) (/ (- (/ 1 b)) 1)))) into (* 1/2 (/ 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 (* PI 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) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* PI b)) (/ 0 -1)) (* (* 2 PI) (/ (- (/ 1 b)) -1)))) into (- (* 2 (/ PI b))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* PI b)) (* 1/2 (/ 1 (pow b 2)))) (+ (* (* 2 PI) (* 1/2 (/ 1 b))) (* (- (* 2 (/ PI b))) 1/2))) 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) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ b a)) 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 (+ 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 (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ (- PI) a) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ b a)) 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 (+ 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 (+ PI 0) into PI * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ b a)) 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 (+ 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 (+ PI 0) into PI * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI 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 PI into 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ 1 b)))) into (- (* 2 (/ PI (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ PI (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 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]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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)))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2 (/ PI (pow b 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 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]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 (+ (* 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 (+ (* 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 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 0 b)) (* (* 2 (/ PI (pow b 3))) (/ 1 b)))) into (- (* 2 (/ PI (pow b 4)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ PI (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 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]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 (+ (* 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 (* (/ 1 b) (/ 1 a))) into (/ PI (* b a)) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 b) (/ 1 a))) 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 (* PI a) * [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 (+ (/ 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 (+ (* PI a) 0) into (* PI a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* PI a) 1) into (* PI a) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 b) (/ 1 a))) 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 (* 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 (- (* PI b)) into (- (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (* PI b))) into (- (* PI b)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* PI b)) 1) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 b) (/ 1 a))) 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 (* 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 (- (* PI b)) into (- (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (* PI b))) into (- (* PI b)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* PI b)) 1) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [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 PI) (* 0 0)) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ PI 1) (+ (* (* -1 (* PI b)) (/ (/ 1 b) 1)))) into (* 2 PI) * [misc]taylor: Taking taylor expansion of (* 2 PI) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 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)) (+ (* (* PI 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 (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (* PI b)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 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 (+ (* 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 (+ (* 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 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)) (+ (* (* PI 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (* PI b)) (/ 0 1)) (* (* 2 PI) (/ 0 1)) (* (- (* 2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 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]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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- PI) (* (/ 1 b) (/ 1 a))) into (* -1 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) 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 (* PI a)) * [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 (+ (/ 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 (* PI a)) 0) into (- (* PI a)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* PI a)) -1) into (* PI a) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) 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 (* 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 (* PI b))) into (* PI b) * [misc]backup-simplify: Simplify (+ 0 (* PI b)) into (* PI b) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* PI b) -1) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) 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 (* 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 (* PI b))) into (* PI b) * [misc]backup-simplify: Simplify (+ 0 (* PI b)) into (* PI b) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* PI b) -1) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [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 PI) (* 0 0)) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- 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 (* PI b)) (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- PI) -1) (+ (* (* -1 (* PI b)) (/ (- (/ 1 b)) -1)))) into (* 2 PI) * [misc]taylor: Taking taylor expansion of (* 2 PI) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 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 (* PI 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) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* PI b)) (/ 0 -1)) (* (* 2 PI) (/ (- (/ 1 b)) -1)))) into (- (* 2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 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 (+ (* 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 (+ (* 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 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 (* PI 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) 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) into 0 * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* PI b)) (/ 0 -1)) (* (* 2 PI) (/ 0 -1)) (* (- (* 2 (/ PI b))) (/ (- (/ 1 b)) -1)))) into (* 2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 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]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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ PI (* b a))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ PI a)) * [exit]simplify: Simplified to (log (/ PI a)) * * * * [misc]progress: [ 3 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ PI a)) * [exit]simplify: Simplified to (exp (/ PI a)) * * * * [misc]progress: [ 4 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI a)) (cbrt (/ PI a))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI a)) (cbrt (/ PI a))) * [exit]simplify: Simplified to (* (cbrt (/ PI a)) (cbrt (/ PI a))) * [enter]simplify: Simplifying (cbrt (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ PI a)) * [exit]simplify: Simplified to (cbrt (/ PI a)) * * * * [misc]progress: [ 5 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI a) (/ PI a)) (/ PI a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (pow (/ PI a) 3) * [exit]simplify: Simplified to (pow (/ PI a) 3) * * * * [misc]progress: [ 6 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI a)) * [exit]simplify: Simplified to (sqrt (/ PI a)) * [enter]simplify: Simplifying (sqrt (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI a)) * [exit]simplify: Simplified to (sqrt (/ PI a)) * * * * [misc]progress: [ 7 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- a) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- a) * [exit]simplify: Simplified to (- a) * * * * [misc]progress: [ 8 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 a) * [exit]simplify: Simplified to (/ 1 a) * * * * [misc]progress: [ 10 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ a PI) * [exit]simplify: Simplified to (/ a PI) * * * * [misc]progress: [ 11 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ PI b)) * [exit]simplify: Simplified to (log (/ PI b)) * * * * [misc]progress: [ 13 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ PI b)) * [exit]simplify: Simplified to (exp (/ PI b)) * * * * [misc]progress: [ 14 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI b)) (cbrt (/ PI b))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI b)) (cbrt (/ PI b))) * [exit]simplify: Simplified to (* (cbrt (/ PI b)) (cbrt (/ PI b))) * [enter]simplify: Simplifying (cbrt (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ PI b)) * [exit]simplify: Simplified to (cbrt (/ PI b)) * * * * [misc]progress: [ 15 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI b) (/ PI b)) (/ PI b)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (pow (/ PI b) 3) * [exit]simplify: Simplified to (pow (/ PI b) 3) * * * * [misc]progress: [ 16 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI b)) * [exit]simplify: Simplified to (sqrt (/ PI b)) * [enter]simplify: Simplifying (sqrt (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI b)) * [exit]simplify: Simplified to (sqrt (/ PI b)) * * * * [misc]progress: [ 17 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- b) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- b) * [exit]simplify: Simplified to (- b) * * * * [misc]progress: [ 18 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 b) * [exit]simplify: Simplified to (/ 1 b) * * * * [misc]progress: [ 20 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ b PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ b PI) * [exit]simplify: Simplified to (/ b PI) * * * * [misc]progress: [ 21 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 22 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- (/ PI a) (/ PI b))) (log (+ b a))) (- (log (/ 1 2)) (log (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ PI a) (/ PI b))) (+ (log (+ b a)) (log (- b a)))) (log 2)) * [exit]simplify: Simplified to (- (- (log (- (/ PI a) (/ PI b))) (+ (log (+ b a)) (log (- b a)))) (log 2)) * * * * [misc]progress: [ 24 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- (/ PI a) (/ PI b))) (log (+ b a))) (log (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ PI a) (/ PI b))) (log (* 2 (- b a)))) (log (+ b a))) * [exit]simplify: Simplified to (- (- (log (- (/ PI a) (/ PI b))) (log (* 2 (- b a)))) (log (+ b a))) * * * * [misc]progress: [ 25 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- (/ PI a) (/ PI b)) (+ b a))) (- (log (/ 1 2)) (log (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (413 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (+ b a))) (+ (log 2) (log (- b a)))) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (+ b a))) (+ (log 2) (log (- b a)))) * * * * [misc]progress: [ 26 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- (/ PI a) (/ PI b)) (+ b a))) (log (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (+ b a))) (log (* (- b a) 2))) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (+ b a))) (log (* (- b a) 2))) * * * * [misc]progress: [ 27 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (log (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (log (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 28 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * [exit]simplify: Simplified to (exp (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (exp (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 29 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (- (/ PI a) (/ PI b))) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* (/ 1 2) (/ 1 2)) (/ 1 2)) (* (* (- 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 (299 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ PI a) (/ PI b)) (* (+ b a) (+ b a))) (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b)))) (/ (* (/ (/ 1 2) (- b a)) (/ (/ 1 2) (- b a))) (/ (+ b a) (/ (/ 1 2) (- b a))))) * [exit]simplify: Simplified to (* (* (/ (- (/ PI a) (/ PI b)) (* (+ b a) (+ b a))) (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b)))) (/ (* (/ (/ 1 2) (- b a)) (/ (/ 1 2) (- b a))) (/ (+ b a) (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 30 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (- (/ PI a) (/ PI b))) (* (* (+ b a) (+ b a)) (+ b a))) (* (* (/ (/ 1 2) (- b a)) (/ (/ 1 2) (- b a))) (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (/ (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (/ (+ b a) (- (/ PI a) (/ PI b)))) (/ (* (/ (/ 1 2) (- b a)) (/ (/ 1 2) (- b a))) (/ (* (+ b a) (+ b a)) (/ (/ 1 2) (- b a))))) * [exit]simplify: Simplified to (* (/ (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (/ (+ b a) (- (/ PI a) (/ PI b)))) (/ (* (/ (/ 1 2) (- b a)) (/ (/ 1 2) (- b a))) (/ (* (+ b a) (+ b a)) (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 31 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (- (/ PI a) (/ PI b)) (+ b a))) (/ (- (/ PI a) (/ PI b)) (+ b a))) (/ (* (* (/ 1 2) (/ 1 2)) (/ 1 2)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (pow (/ (/ 1 2) (- b a)) 3) (/ (- (/ PI a) (/ PI b)) (+ b a))) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (- (/ PI a) (/ PI b)) (+ b a)))) * [exit]simplify: Simplified to (* (* (pow (/ (/ 1 2) (- b a)) 3) (/ (- (/ PI a) (/ PI b)) (+ b a))) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (- (/ PI a) (/ PI b)) (+ b a)))) * * * * [misc]progress: [ 32 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (- (/ PI a) (/ PI b)) (+ b a))) (/ (- (/ PI a) (/ PI b)) (+ b a))) (* (* (/ (/ 1 2) (- b a)) (/ (/ 1 2) (- b a))) (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (pow (/ (/ 1 2) (- b a)) 3)) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (- (/ PI a) (/ PI b)) (+ b a)))) * [exit]simplify: Simplified to (* (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (pow (/ (/ 1 2) (- b a)) 3)) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (- (/ PI a) (/ PI b)) (+ b a)))) * * * * [misc]progress: [ 33 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))) (cbrt (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (+ b a))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (+ b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (+ b a))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (+ b a)))) * [enter]simplify: Simplifying (cbrt (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 34 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * [exit]simplify: Simplified to (pow (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (+ b a)) 3) * [exit]simplify: Simplified to (pow (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (+ b a)) 3) * * * * [misc]progress: [ 35 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) * [enter]simplify: Simplifying (sqrt (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 36 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ PI a) (/ PI b)) (/ 1 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [enter]simplify: Simplifying (* (+ b a) (- 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) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * * * * [misc]progress: [ 37 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (cbrt (/ (/ 1 2) (- b a))) (cbrt (/ (/ 1 2) (- b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 1 2) (- b a))) (- (/ PI a) (/ PI b))) (/ (+ b a) (cbrt (/ (/ 1 2) (- b a))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 1 2) (- b a))) (- (/ PI a) (/ PI b))) (/ (+ b a) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 39 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (sqrt (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (/ 1 2) (- b a))) (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (* (sqrt (/ (/ 1 2) (- b a))) (/ (- (/ PI a) (/ PI b)) (+ b a))) * * * * [misc]progress: [ 40 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 2)) (cbrt (- b a))) (/ (cbrt (/ 1 2)) (cbrt (- b a)))) (/ (+ b a) (- (/ PI a) (/ PI b)))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 2)) (cbrt (- b a))) (/ (cbrt (/ 1 2)) (cbrt (- b a)))) (/ (+ b a) (- (/ PI a) (/ PI b)))) * * * * [misc]progress: [ 41 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (* (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (+ b a)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * [exit]simplify: Simplified to (* (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (+ b a)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * * * * [misc]progress: [ 42 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * * * * [misc]progress: [ 43 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (sqrt (/ 1 2)) (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (397 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (/ 1 2)) (- (/ PI a) (/ PI b))) (* (* (cbrt (- b a)) (cbrt (- b a))) (+ b a))) * [exit]simplify: Simplified to (/ (* (sqrt (/ 1 2)) (- (/ PI a) (/ PI b))) (* (* (cbrt (- b a)) (cbrt (- b a))) (+ b a))) * * * * [misc]progress: [ 44 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (sqrt (/ 1 2)) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (/ (sqrt (/ 1 2)) (+ b a))) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (/ (sqrt (/ 1 2)) (+ b a))) * * * * [misc]progress: [ 45 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (sqrt (/ 1 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 2)) (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (* (sqrt (/ 1 2)) (/ (- (/ PI a) (/ PI b)) (+ b a))) * * * * [misc]progress: [ 46 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (+ b a) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (+ b a) (cbrt (- b a)))) * * * * [misc]progress: [ 47 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ 1 (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (+ b a)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (+ b a)) * * * * [misc]progress: [ 48 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * * * * [misc]progress: [ 49 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (+ b a) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (+ b a) (cbrt (- b a)))) * * * * [misc]progress: [ 50 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ 1 (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (+ b a)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (+ b a)) * * * * [misc]progress: [ 51 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * * * * [misc]progress: [ 52 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * * * * [misc]progress: [ 53 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ 1 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) * * * * [misc]progress: [ 54 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- (pow b 3) (pow a 3))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- (pow b 3) (pow a 3))) * * * * [misc]progress: [ 55 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (* (+ b a) (- b a)) (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (* (+ b a) (- b a)) (+ b a))) * * * * [misc]progress: [ 56 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (* 2 (- b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (* 2 (- b a))) * * * * [misc]progress: [ 57 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (* 2 (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (* 2 (- b a))) * * * * [misc]progress: [ 58 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (cbrt (+ b a)) (* 2 (- b a)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (cbrt (+ b a)) (* 2 (- b a)))) * * * * [misc]progress: [ 59 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (sqrt (+ b a)) (* 2 (- b a)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (sqrt (+ b a)) (* 2 (- b a)))) * * * * [misc]progress: [ 60 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (/ PI a) (/ PI b))) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (* (+ b a) (- b a)) 2)) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (* (+ b a) (- b a)) 2)) * * * * [misc]progress: [ 61 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (+ b a)) (* 2 (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (+ b a)) (* 2 (- b a)))) * * * * [misc]progress: [ 62 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (+ b a)) (* 2 (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (+ b a)) (* 2 (- b a)))) * * * * [misc]progress: [ 63 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (- (/ PI a) (/ PI b))) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (* (+ b a) (- b a)) 2)) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (* (+ b a) (- b a)) 2)) * * * * [misc]progress: [ 64 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) (* (- b a) 2))) * * * * [misc]progress: [ 65 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (sqrt (+ b a)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (sqrt (+ b a)) (* (- b a) 2))) * * * * [misc]progress: [ 66 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 67 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (cbrt (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (* 2 (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (* 2 (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 68 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (* 2 (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (* 2 (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 69 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (- b a) (* 2 (+ a b)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (- b a) (* 2 (+ a b)))) * * * * [misc]progress: [ 70 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) (* (- b a) 2))) * * * * [misc]progress: [ 71 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (sqrt (+ b a)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (sqrt (+ b a)) (* (- b a) 2))) * * * * [misc]progress: [ 72 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 73 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* 2 (- b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* 2 (- b a)) (cbrt (+ b a)))) * * * * [misc]progress: [ 74 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* 2 (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* 2 (- b a)) (sqrt (+ b a)))) * * * * [misc]progress: [ 75 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) 2) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) 2) * * * * [misc]progress: [ 76 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 77 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (481 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (- b a)) * * * * [misc]progress: [ 78 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* b b) (- (* a a) (* b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * [exit]simplify: Simplified to (/ (+ (* b b) (* (- a b) a)) (* (- b a) 2)) * [exit]simplify: Simplified to (/ (+ (* b b) (* (- a b) a)) (* (- b a) 2)) * * * * [misc]progress: [ 79 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * * * * [misc]progress: [ 80 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ 1 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) * * * * [misc]progress: [ 81 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ PI a) (/ PI b)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) * * * * [misc]progress: [ 82 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ PI a) (/ PI b))) (log (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI a) (/ PI b))) (log (+ b a))) * [exit]simplify: Simplified to (- (log (- (/ PI a) (/ PI b))) (log (+ b a))) * * * * [misc]progress: [ 85 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (/ PI a) (/ PI b)) (+ 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 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (log (/ (- (/ PI a) (/ PI b)) (+ b a))) * * * * [misc]progress: [ 86 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (/ PI a) (/ PI b)) (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (exp (/ (- (/ PI a) (/ PI b)) (+ b a))) * * * * [misc]progress: [ 87 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (- (/ PI a) (/ PI b))) (* (* (+ b a) (+ b a)) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI a) (/ PI b)) (+ b a)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI a) (/ PI b)) (+ b a)) 3) * * * * [misc]progress: [ 88 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a)))) * [enter]simplify: Simplifying (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * * [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 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * * * * [misc]progress: [ 89 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (- (/ PI a) (/ PI b)) (+ b a))) (/ (- (/ PI a) (/ PI b)) (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI a) (/ PI b)) (+ b a)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI a) (/ PI b)) (+ b a)) 3) * * * * [misc]progress: [ 90 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * * [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 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * [enter]simplify: Simplifying (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * * [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 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * * * * [misc]progress: [ 91 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [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 (23 enodes) * [exit]simplify: Simplified to (- (/ PI b) (/ PI a)) * [exit]simplify: Simplified to (- (/ PI b) (/ PI a)) * [enter]simplify: Simplifying (- (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (- a) b) * [exit]simplify: Simplified to (- (- a) b) * * * * [misc]progress: [ 92 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI a) (+ b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (/ PI a) (+ b a)) * [exit]simplify: Simplified to (/ (/ PI a) (+ b a)) * [enter]simplify: Simplifying (/ (/ PI b) (+ b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (+ a b)) * [exit]simplify: Simplified to (/ (/ PI b) (+ a b)) * * * * [misc]progress: [ 93 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (+ b a))) (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (+ b a))) (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (+ b a))) * * * * [misc]progress: [ 94 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (+ b a)))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (+ b a))) * * * * [misc]progress: [ 95 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI a) (/ PI b))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (+ b a)) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (+ b a)) * * * * [misc]progress: [ 96 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (+ b a))) * * * * [misc]progress: [ 97 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (+ b a))) * * * * [misc]progress: [ 98 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (sqrt (- (/ PI a) (/ PI b))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (+ b a)) * * * * [misc]progress: [ 99 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) * * [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) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) * * * * [misc]progress: [ 100 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) * * [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) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) * * * * [misc]progress: [ 101 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (+ b a)) * * [misc]simplify: iters left: 6 (8 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 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * * * * [misc]progress: [ 102 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI b)) (sqrt (/ PI a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI b)) (sqrt (/ PI a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (cbrt (+ a b))) * * * * [misc]progress: [ 103 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI b)) (sqrt (/ PI a))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI b)) (sqrt (/ PI a))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (+ a b))) * * * * [misc]progress: [ 104 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI b)) (sqrt (/ PI a))) * [exit]simplify: Simplified to (+ (sqrt (/ PI b)) (sqrt (/ PI a))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (+ a b)) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (+ a b)) * * * * [misc]progress: [ 105 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) * * [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) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) * * * * [misc]progress: [ 106 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) * * [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) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) * * * * [misc]progress: [ 107 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (+ b a)) * * [misc]simplify: iters left: 6 (8 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 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * * * * [misc]progress: [ 108 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ b a)) (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 (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) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * * * * [misc]progress: [ 109 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [exit]simplify: Simplified to (/ PI (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 (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) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * * * * [misc]progress: [ 110 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 111 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 113 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 114 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [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) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (cbrt (+ b a))) * * * * [misc]progress: [ 115 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) * * [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) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) * * * * [misc]progress: [ 116 / 139 ] 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: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * * * * [misc]progress: [ 117 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (cbrt (- (/ PI a) (/ PI b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (- (/ PI a) (/ PI b)))) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (- (/ PI a) (/ PI b)))) * * * * [misc]progress: [ 118 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (sqrt (- (/ PI a) (/ PI b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (- (/ PI a) (/ PI b)))) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (- (/ PI a) (/ PI b)))) * * * * [misc]progress: [ 119 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 120 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (sqrt (/ PI a)) (sqrt (/ PI b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (sqrt (/ PI a)) (sqrt (/ PI b)))) * [exit]simplify: Simplified to (/ (+ a b) (- (sqrt (/ PI a)) (sqrt (/ PI b)))) * * * * [misc]progress: [ 121 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 122 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 123 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (+ (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ (pow a 3) (pow b 3))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ (pow a 3) (pow b 3))) * * * * [misc]progress: [ 124 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- (* b b) (* a a))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- (* b b) (* a a))) * * * * [misc]progress: [ 125 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (* 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) * [exit]simplify: Simplified to (* (+ a b) (* a b)) * [exit]simplify: Simplified to (* (+ a b) (* a b)) * * * * [misc]progress: [ 126 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (+ (* (/ PI a) (/ PI a)) (+ (* (/ PI b) (/ PI b)) (* (/ PI a) (/ PI b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (+ (* (/ PI a) (* (+ a b) (/ PI a))) (* (+ (/ PI a) (/ PI b)) (* (+ a b) (/ PI b)))) * [exit]simplify: Simplified to (+ (* (/ PI a) (* (+ a b) (/ PI a))) (* (+ (/ PI a) (/ PI b)) (* (+ a b) (/ PI b)))) * * * * [misc]progress: [ 127 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (+ (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (* (+ a b) (+ (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (* (+ a b) (+ (/ PI a) (/ PI b))) * * * * [misc]progress: [ 128 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 129 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 130 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 131 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 132 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 133 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 134 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 135 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 136 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 137 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI (* b a)) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (/ (/ PI (* 2 b)) (* (- b a) a)) * * * * [misc]progress: [ 138 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -1 (/ PI (* b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (345 enodes) * [exit]simplify: Simplified to (/ (/ (- PI) 2) (* (- b a) (* b a))) * * * * [misc]progress: [ 139 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -1 (/ PI (* b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (345 enodes) * [exit]simplify: Simplified to (/ (/ (- PI) 2) (* (- b a) (* b a))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) +nan.0)) , with alts (#) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 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 250 of 8000 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 125 of 8000 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 62 of 8000 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 31 of 8000 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 15 of 8000 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 7 of 8000 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 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1322 additional inputs, on iter 1 have 6678 / 8000 * * * * [misc]points: Computing exacts on every 82 of 1322 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 41 of 1322 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 20 of 1322 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 10 of 1322 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 5 of 1322 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 1322 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1322 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 216 additional inputs, on iter 2 have 7784 / 8000 * * * * [misc]points: Computing exacts on every 13 of 216 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 6 of 216 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 216 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 216 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 31 additional inputs, on iter 3 have 7969 / 8000 * * * * [misc]points: Computing exacts for 31 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs