* [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: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 192 additional inputs, on iter 1 have 64 / 256 * * * * [misc]points: Computing exacts on every 12 of 192 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 6 of 192 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 192 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 192 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 145 additional inputs, on iter 2 have 111 / 256 * * * * [misc]points: Computing exacts on every 9 of 145 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 145 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 145 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 145 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 113 additional inputs, on iter 3 have 143 / 256 * * * * [misc]points: Computing exacts on every 7 of 113 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 113 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 113 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 91 additional inputs, on iter 4 have 165 / 256 * * * * [misc]points: Computing exacts on every 5 of 91 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 91 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 91 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 65 additional inputs, on iter 5 have 191 / 256 * * * * [misc]points: Computing exacts on every 4 of 65 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 65 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 65 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 47 additional inputs, on iter 6 have 209 / 256 * * * * [misc]points: Computing exacts on every 2 of 47 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 47 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 35 additional inputs, on iter 7 have 221 / 256 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 35 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 25 additional inputs, on iter 8 have 231 / 256 * * * * [misc]points: Computing exacts for 25 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 19 additional inputs, on iter 9 have 237 / 256 * * * * [misc]points: Computing exacts for 19 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 10 have 243 / 256 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 11 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 12 have 249 / 256 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 13 have 249 / 256 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 14 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 1 * [misc]none: All alts: 1 * [misc]none: Fresh alt: (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))): 0 * [misc]none: Best fresh alt per point * [misc]none: (3.5199466243596854e-299): 0 * [misc]none: (7.015751827940853e-06): 0 * [misc]none: (5.932902354540652e-124): 0 * [misc]none: (2.053616853702732e-224): 0 * [misc]none: (1.3773590471941116e-85): 0 * [misc]none: (3.891498638245715e-204): 0 * [misc]none: (3.7593562727881465e-144): 0 * [misc]none: (6.365296636056406e-210): 0 * [misc]none: (1.67686277315656e-251): 0 * [misc]none: (1.3713007375624439e-145): 0 * [misc]none: (4.3470242035285214e-217): 0 * [misc]none: (2.3704965072138904e-155): 0 * [misc]none: (3.348006630378271e-280): 0 * [misc]none: 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[misc]none: (2.1519168903719224e-48): 0 * [misc]none: (2.467422452934927e-37): 0 * [misc]none: (5.976566162781828e-262): 0 * [misc]none: (1.638426277474575e-287): 0 * [misc]none: (7.549936203493533e-264): 0 * [misc]none: (161670548.36131597): 0 * [misc]none: (1.2154965615643017e-95): 0 * [misc]none: (1.7054753386147003e-193): 0 * [misc]none: (1.0400546097675973e-191): 0 * [misc]none: (1.2926844442603449e-272): 0 * [misc]none: (8.02593234133885e-135): 0 * [misc]none: (4.693484541613577e-225): 0 * [misc]none: (1.488087021136329e-285): 0 * [misc]none: (1.9700593229138827e-50): 0 * [misc]none: (1.6501972239963874e-258): 0 * [misc]none: (3.049268063166789e-38): 0 * [misc]none: (3.388041199273477e-265): 0 * [misc]none: (3.7476721237841876e-281): 0 * [misc]none: (4.811543151950025e-33): 0 * [misc]none: (1.7265727720717877e-65): 0 * [misc]none: (6.525431496731668e-64): 0 * [misc]none: (2.704077310435608e-253): 0 * [misc]none: (2.7511202385052856e-18): 0 * [misc]none: (3.82956155404422e-299): 0 * [misc]none: (4.296582624822391e-200): 0 * [misc]none: (9.139158849230913e-305): 0 * [misc]none: (6.683383915725252e-271): 0 * [misc]none: (1.830961252259433e-59): 0 * [misc]none: (4.068667347744151e-179): 0 * [misc]none: (3.853952974089327e-228): 0 * [misc]none: (6.009493492582987e-296): 0 * [misc]none: Picked alt (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/192 (pow PI 3)) (pow f 3)) (* (* 1/2 PI) f))) into (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) into (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) into (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2880 (pow PI 3))) (pow f 3)) (+ (* (* 1/12 PI) f) (* (/ 4 PI) (/ 1 f)))) into (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3)))) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) into (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) into (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 7/5760 (pow PI 3))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/5760 (pow PI 3))) (pow f 4)) (+ (* (* 1/12 PI) (pow f 2)) (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) into (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))))) PI)) into (* 4 (/ (log (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) PI)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) PI)) into (* 4 (/ (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))) PI)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (/ PI 4) f) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) f) into (* 1/4 (* PI f)) * [misc]approximate: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 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 (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 (/ 1 f))) into (* 1/4 (* PI f)) * [misc]approximate: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* -1/4 PI) into (* -1/4 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 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 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) 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 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) 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 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) 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 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) 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/4 PI) (/ 1 (/ 1 (- f)))) into (* 1/4 (* PI f)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (/ PI 4) f))) (cbrt (exp (* (/ PI 4) f)))) (cbrt (exp (* (/ PI 4) f))) (- (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) * [enter]simplify: Simplifying (fma (- (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (/ PI 4) f))) (cbrt (exp (* (/ PI 4) f)))) (cbrt (exp (* (/ PI 4) f))) (- (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) * [enter]simplify: Simplifying (fma (- (sqrt (exp (- (* (/ PI 4) f))))) (sqrt (exp (- (* (/ PI 4) f)))) (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [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 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (/ PI 4) f))) (cbrt (exp (* (/ PI 4) f)))) (cbrt (exp (* (/ PI 4) f))) (- (* (exp (- (* (/ PI 4) f))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [enter]simplify: Simplifying (fma (- (exp (- (* (/ PI 4) f)))) 1 (* (exp (- (* (/ PI 4) f))) 1)) * * [misc]simplify: iters left: 6 (11 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 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 4 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) f))) (- (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [enter]simplify: Simplifying (fma (- (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) f))) (- (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [enter]simplify: Simplifying (fma (- (sqrt (exp (- (* (/ PI 4) f))))) (sqrt (exp (- (* (/ PI 4) f)))) (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [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 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 6 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) f))) (- (* (exp (- (* (/ PI 4) f))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [enter]simplify: Simplifying (fma (- (exp (- (* (/ PI 4) f)))) 1 (* (exp (- (* (/ PI 4) f))) 1)) * * [misc]simplify: iters left: 6 (11 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 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 7 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (/ PI 4) f)) (- (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) * [enter]simplify: Simplifying (fma (- (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 8 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (/ PI 4) f)) (- (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) * [enter]simplify: Simplifying (fma (- (sqrt (exp (- (* (/ PI 4) f))))) (sqrt (exp (- (* (/ PI 4) f)))) (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [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 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 9 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (/ PI 4) f)) (- (* (exp (- (* (/ PI 4) f))) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) * [enter]simplify: Simplifying (fma (- (exp (- (* (/ PI 4) f)))) 1 (* (exp (- (* (/ PI 4) f))) 1)) * * [misc]simplify: iters left: 6 (11 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 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 10 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (expm1 (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (expm1 (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 11 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (log1p (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log1p (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 12 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 13 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 14 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 15 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (exp (* (/ PI 4) f))) (exp (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 16 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 18 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 19 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 20 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (pow (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) 3) * [exit]simplify: Simplified to (pow (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) 3) * * * * [misc]progress: [ 21 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 22 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f)))) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f)))) * [enter]simplify: Simplifying (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (fma (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)) 1)) * [exit]simplify: Simplified to (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (fma (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)) 1)) * * * * [misc]progress: [ 23 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 24 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) * [enter]simplify: Simplifying (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * * * * [misc]progress: [ 26 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))) * [exit]simplify: Simplified to (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))) * [enter]simplify: Simplifying (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 27 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * [exit]simplify: Simplified to (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * * * * [misc]progress: [ 28 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 29 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (expm1 (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (expm1 (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 30 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (log1p (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (log1p (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 31 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (- (log (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (- (log (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 33 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 34 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (exp (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (exp (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 35 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) 3) * * * * [misc]progress: [ 36 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 37 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 3) * * * * [misc]progress: [ 38 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [enter]simplify: Simplifying (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 39 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (- (- (exp (/ (- PI) (/ 4 f)))) (exp (* (/ PI 4) f))) * [exit]simplify: Simplified to (- (- (exp (/ (- PI) (/ 4 f)))) (exp (* (/ PI 4) f))) * [enter]simplify: Simplifying (- (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (- (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) * [exit]simplify: Simplified to (- (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) * * * * [misc]progress: [ 40 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 41 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 42 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1) * * [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 (61 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 43 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 44 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1) * * [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 (61 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 45 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 46 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 47 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 48 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (* (/ PI 4) f))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (* (/ PI 4) f))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 49 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 50 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 51 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 52 / 178 ] 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 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 53 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f)))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 54 / 178 ] 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 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 55 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 56 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 57 / 178 ] 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 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 58 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f)))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 59 / 178 ] 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 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 60 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (/ 1 (- (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 62 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 63 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 64 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 65 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) * [exit]simplify: Simplified to (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) * * * * [misc]progress: [ 66 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 67 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) * [exit]simplify: Simplified to (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) * * * * [misc]progress: [ 68 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 69 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 70 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 71 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 72 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f))))) * * * * [misc]progress: [ 73 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (371 enodes) * [exit]simplify: Simplified to (/ 1 (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ 1 (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 74 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (- (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (442 enodes) * [exit]simplify: Simplified to (* (fma (exp (/ (- PI) (/ 4 f))) (exp (/ (- PI) (/ 4 f))) (expm1 (* (+ f f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (* (fma (exp (/ (- PI) (/ 4 f))) (exp (/ (- PI) (/ 4 f))) (expm1 (* (+ f f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 75 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (* (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (* (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 76 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (expm1 (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (expm1 (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * * * * [misc]progress: [ 77 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (log1p (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (log1p (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * * * * [misc]progress: [ 78 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 79 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (log (/ PI 4))) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (log (/ PI 4))) * * * * [misc]progress: [ 81 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (log (/ PI 4))) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (log (/ PI 4))) * * * * [misc]progress: [ 82 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (log (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * [exit]simplify: Simplified to (log (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * * * * [misc]progress: [ 83 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (/ 4 PI)) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (/ 4 PI)) * * * * [misc]progress: [ 84 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (380 enodes) * [exit]simplify: Simplified to (* (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (* (/ PI 4) (* (/ PI 4) (/ PI 4)))) (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (* (/ PI 4) (* (/ PI 4) (/ PI 4)))) (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))))) * * * * [misc]progress: [ 85 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (458 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4))) (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)))) * [exit]simplify: Simplified to (* (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4))) (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)))) * [enter]simplify: Simplifying (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (cbrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (cbrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * * * * [misc]progress: [ 86 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (pow (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) 3) * [exit]simplify: Simplified to (pow (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) 3) * * * * [misc]progress: [ 87 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [enter]simplify: Simplifying (sqrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))) * * * * [misc]progress: [ 88 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 90 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 91 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI (+ 4 4))) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI (+ 4 4))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 92 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ 4 PI))) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 93 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 94 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f)))))) (* (/ 4 PI) (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))))) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f)))))) (* (/ 4 PI) (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 95 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 96 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (/ (log (/ (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 97 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 98 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 99 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (449 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* f (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* f (/ PI 4))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 100 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 101 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ (- 4) PI)) (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ (- 4) PI))) * [exit]simplify: Simplified to (+ (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ (- 4) PI)) (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ (- 4) PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI)) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI)) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (/ PI 4))) * * * * [misc]progress: [ 102 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI)) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI)) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (/ PI 4))) * * * * [misc]progress: [ 103 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 104 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (fma (log (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4))))) (/ PI 4))) * * * * [misc]progress: [ 105 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 106 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ (- 4) PI)) (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ (- 4) PI))) * [exit]simplify: Simplified to (+ (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ (- 4) PI)) (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ (- 4) PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI)) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI)) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (/ PI 4))) * * * * [misc]progress: [ 107 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI)) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI)) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (* f (/ PI 4))))) (/ PI 4))) * * * * [misc]progress: [ 108 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 109 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (fma (log (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4))))) (/ PI 4))) * * * * [misc]progress: [ 110 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 111 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (log 1) (/ 4 PI)) * [exit]simplify: Simplified to (* (log 1) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 112 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) (- (/ 4 PI))) * * * * [misc]progress: [ 113 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))) (fma (pow (exp (/ PI 4)) (+ (- f) (- f))) (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp (/ PI 4)) (+ f (+ f f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))) (fma (pow (exp (/ PI 4)) (+ (- f) (- f))) (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp (/ PI 4)) (+ f (+ f f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (* (log1p (fma (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) (+ f f))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log1p (fma (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) (+ f f))))) (/ 4 PI)) * * * * [misc]progress: [ 114 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (* (- (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))) * * * * [misc]progress: [ 115 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (417 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 116 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 117 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))))) * * * * [misc]progress: [ 118 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (fma (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI) (* (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI))) * [exit]simplify: Simplified to (fma (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI) (* (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))))) * * * * [misc]progress: [ 119 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 120 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (* (/ 4 PI) (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))))) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (* (/ 4 PI) (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 121 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 122 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (* (log (/ (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))))) * * * * [misc]progress: [ 123 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))))) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))))) * * * * [misc]progress: [ 124 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 125 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (476 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 126 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 127 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (* (log (cbrt (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (+ (- (/ 4 PI)) (- (/ 4 PI)))) * [exit]simplify: Simplified to (* (log (cbrt (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (+ (- (/ 4 PI)) (- (/ 4 PI)))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (- (/ 4 PI)) (* (log (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI))) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (- (/ 4 PI)) (* (log (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI))) * * * * [misc]progress: [ 128 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (- (/ 4 PI)) (* (log (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI))) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (- (/ 4 PI)) (* (log (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI))) * * * * [misc]progress: [ 129 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 130 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4)))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4)))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (/ PI 4))) * * * * [misc]progress: [ 131 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 132 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (* (log (cbrt (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (+ (- (/ 4 PI)) (- (/ 4 PI)))) * [exit]simplify: Simplified to (* (log (cbrt (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (+ (- (/ 4 PI)) (- (/ 4 PI)))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (- (/ 4 PI)) (* (log (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI))) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (- (/ 4 PI)) (* (log (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI))) * * * * [misc]progress: [ 133 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (- (/ 4 PI)) (* (log (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI))) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))) (- (/ 4 PI)) (* (log (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI))) * * * * [misc]progress: [ 134 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 135 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4)))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4)))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (/ PI 4))) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ PI 4) (- f)))))) (/ (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (/ PI 4))) * * * * [misc]progress: [ 136 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 137 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log 1) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (log 1) (/ PI 4)) * [exit]simplify: Simplified to (/ (log 1) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 138 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (log (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (/ (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (/ PI (- 4))) * * * * [misc]progress: [ 139 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp (/ PI 4)) (+ (- f) (- f))) (pow (exp (/ PI 4)) (+ f (+ f f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp (/ PI 4)) (+ (- f) (- f))) (pow (exp (/ PI 4)) (+ f (+ f f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (/ (log1p (fma (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (+ f f))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log1p (fma (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (+ f f))))) (/ PI 4)) * * * * [misc]progress: [ 140 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (/ (- (log (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (log (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (+ (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) (/ 4 PI)) * * * * [misc]progress: [ 141 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 142 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) 4) (/ PI (cbrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))))) * [exit]simplify: Simplified to (/ (* (cbrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) 4) (/ PI (cbrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))))) * * * * [misc]progress: [ 143 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 144 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 145 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 146 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 147 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 148 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 149 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* 4 (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* 4 (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 150 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 151 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 152 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (expm1 (* (/ PI 4) f)) * [exit]simplify: Simplified to (expm1 (* (/ PI 4) f)) * * * * [misc]progress: [ 153 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log1p (* (/ PI 4) f)) * [exit]simplify: Simplified to (log1p (* (/ PI 4) f)) * * * * [misc]progress: [ 154 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 155 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (log (/ (* f PI) 4)) * [exit]simplify: Simplified to (log (/ (* f PI) 4)) * * * * [misc]progress: [ 156 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (exp (/ PI (/ 4 f))) * [exit]simplify: Simplified to (exp (/ PI (/ 4 f))) * * * * [misc]progress: [ 157 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ PI 4) f)) (cbrt (* (/ PI 4) f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* f PI) 4)) (cbrt (/ (* f PI) 4))) * [exit]simplify: Simplified to (* (cbrt (/ (* f PI) 4)) (cbrt (/ (* f PI) 4))) * [enter]simplify: Simplifying (cbrt (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (* (/ PI 4) f)) * [exit]simplify: Simplified to (cbrt (* (/ PI 4) f)) * * * * [misc]progress: [ 158 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ PI 4) f) (* (/ PI 4) f)) (* (/ PI 4) f)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (pow (/ (* f PI) 4) 3) * [exit]simplify: Simplified to (pow (/ (* f PI) 4) 3) * * * * [misc]progress: [ 159 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 4) f)) * [exit]simplify: Simplified to (sqrt (* (/ PI 4) f)) * [enter]simplify: Simplifying (sqrt (* (/ PI 4) f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 4) f)) * [exit]simplify: Simplified to (sqrt (* (/ PI 4) f)) * * * * [misc]progress: [ 160 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 161 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 4)) f) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 4)) f) * [exit]simplify: Simplified to (* (cbrt (/ PI 4)) f) * * * * [misc]progress: [ 162 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ PI 4)) f) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (/ PI 4)) f) * [exit]simplify: Simplified to (* (sqrt (/ PI 4)) f) * * * * [misc]progress: [ 163 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 4) f) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ PI (/ 4 f)) * [exit]simplify: Simplified to (/ PI (/ 4 f)) * * * * [misc]progress: [ 164 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 4) f) * * [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 (/ f 4) * [exit]simplify: Simplified to (/ f 4) * * * * [misc]progress: [ 165 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* f PI) * [exit]simplify: Simplified to (* f PI) * * * * [misc]progress: [ 166 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 167 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 168 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ f 4) PI))) (+ (/ (- 1) (pow (exp 1/4) (* f PI))) (pow (exp 1/4) (* f PI))))) (/ (- 4) PI)) * * * * [misc]progress: [ 169 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (- (/ 4 PI))) * * * * [misc]progress: [ 170 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (* (log (- (fma 1/12 (* f PI) (/ (/ 4 PI) f)) (* (* (* f PI) (* PI PI)) (* 1/2880 (* f f))))) (- (/ 4 PI))) * * * * [misc]progress: [ 171 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (* (* (/ 4 PI) (- 1)) (log (/ (+ (pow (exp 1/4) (* f PI)) (exp (* (* 1/4 PI) (- f)))) (+ (pow (exp 1/4) (* f PI)) (/ (- 1) (pow (exp 1/4) (* f PI))))))) * * * * [misc]progress: [ 172 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) * * * * [misc]progress: [ 173 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (+ (* (- (* 1/12 PI)) (* f f)) (- (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (/ (log f) (/ PI 4))) (* (/ 4 PI) (log (/ 4 PI))))) * * * * [misc]progress: [ 174 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) PI))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp 1/4) (* PI f)) (exp (* (- f) (* PI 1/4)))) (+ (pow (exp 1/4) (* PI f)) (/ (- 1) (pow (exp 1/4) (* PI f))))))) * * * * [misc]progress: [ 175 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))) PI))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))) (- (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (/ PI (- 4))) * * * * [misc]progress: [ 176 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- 1/4) (* f PI))))))) * * * * [misc]progress: [ 177 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- 1/4) (* f PI))))))) * * * * [misc]progress: [ 178 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- 1/4) (* f PI))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 4 * [misc]none: All alts: 4 * [misc]none: Fresh alt: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) * [misc]none: Fresh alt: (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [misc]none: Fresh alt: (λ (f) (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [misc]none: Fresh alt: (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))): 0 * [misc]none: (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))): 1 * [misc]none: (λ (f) (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))): 2 * [misc]none: (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))): 3 * [misc]none: Best fresh alt per point * [misc]none: (3.5199466243596854e-299): 0 * [misc]none: (7.015751827940853e-06): 0 * [misc]none: (5.932902354540652e-124): 0 * [misc]none: (2.053616853702732e-224): 0 * [misc]none: (1.3773590471941116e-85): 0 * [misc]none: (3.891498638245715e-204): 2 * [misc]none: (3.7593562727881465e-144): 2 * [misc]none: (6.365296636056406e-210): 0 * [misc]none: (1.67686277315656e-251): 0 * [misc]none: (1.3713007375624439e-145): 0 * [misc]none: (4.3470242035285214e-217): 2 * [misc]none: (2.3704965072138904e-155): 0 * [misc]none: (3.348006630378271e-280): 0 * [misc]none: (1.0667290830168972e-214): 0 * [misc]none: (5.291003268559521e-138): 0 * [misc]none: (3.635166212473371e-300): 0 * [misc]none: (3.966912435182195e-260): 0 * [misc]none: (3.5927665975113976e-239): 0 * [misc]none: (4.614798558690456e-297): 0 * [misc]none: (1.868195914590381e-206): 0 * [misc]none: (5.5950620368202944e-145): 0 * [misc]none: (1.2940880376764753e-219): 0 * [misc]none: (3.861824393614253e-238): 0 * [misc]none: (2.9754862723359673e-209): 0 * [misc]none: (2.5416139134760705e-289): 0 * [misc]none: (2.3199002928076114e-253): 0 * [misc]none: (8.620532347324376e-08): 2 * [misc]none: (3.9615177849779133e-143): 2 * [misc]none: (1.1510307484496886e-51): 0 * [misc]none: (3.693750774878426e-277): 0 * [misc]none: (7.454704207949864e-57): 0 * [misc]none: (7.526283173556059e-199): 0 * [misc]none: (5.532920533179142e-152): 0 * [misc]none: (3.7185602485274197e-196): 0 * [misc]none: (7.775944736851254e-206): 0 * [misc]none: (5.038324220668273e-249): 2 * [misc]none: (3.34193429381633e-274): 0 * [misc]none: (5.316440102938414e-63): 0 * [misc]none: (2.2458933586183572e-118): 0 * [misc]none: (1.9670205245244736e-161): 0 * [misc]none: (1.7880122882465386e-160): 0 * [misc]none: (5.9404411007612226e-148): 0 * [misc]none: (5.946958643597572e-214): 0 * [misc]none: (9.722495709355246e-119): 0 * [misc]none: (3.4485202867414925e-305): 0 * [misc]none: (9.612946779766744e-152): 0 * [misc]none: (6.79923859530497e-146): 2 * [misc]none: (1.1189646373235805e-58): 0 * [misc]none: (4.656737006361128e-228): 0 * [misc]none: (2.376066765979685e-112): 0 * [misc]none: (1.1698610931102194e-130): 0 * [misc]none: (1.661221283132463e-65): 0 * [misc]none: (4.4868661851147195e-129): 2 * [misc]none: (6.919405587280887e-246): 2 * [misc]none: (1.1395251390361844e-140): 0 * [misc]none: (2.4110148371685504e-195): 0 * [misc]none: (3.267420843732698e-278): 0 * [misc]none: (6.357084440609873e-122): 0 * [misc]none: (9.254023538292273e-258): 0 * [misc]none: (2.617971147092364e-76): 0 * [misc]none: (1.5886707158046732e-145): 2 * [misc]none: (5.592901786443595e-28): 0 * [misc]none: (6.673139894543714e-272): 0 * [misc]none: (2.389729719307196e-186): 0 * [misc]none: (1.5951305500453889e-112): 0 * [misc]none: (1.09010428308076e-124): 0 * [misc]none: (0.36218343358512595): 1 * [misc]none: (2.748984383306802e-298): 2 * [misc]none: (1.0943834228645564e-283): 0 * [misc]none: (7.113635611234131e-284): 0 * [misc]none: (3.1548761384348172e-109): 2 * [misc]none: (9.821958098168882e-306): 0 * [misc]none: (19456252.47135729): 0 * [misc]none: (2.2232805721846523e-265): 0 * [misc]none: (5.372727824328137e-28): 2 * [misc]none: (5.651538156817781e-179): 0 * [misc]none: (127453.31416225288): 0 * [misc]none: (4.8458035413918555e-285): 0 * [misc]none: (4.5943761374208534e-275): 0 * [misc]none: (1.0704348800720866e-142): 2 * [misc]none: (9.151015091612054e-197): 0 * [misc]none: (1.6592153710205133e-269): 0 * [misc]none: (2.8067853342065496e-36): 0 * [misc]none: (6.922703552766224e-109): 0 * [misc]none: (1.674827311439142e-232): 2 * [misc]none: (1.1207405456452899e-163): 0 * [misc]none: (6.700770922533326e-131): 2 * [misc]none: (2.2584006382909978e-83): 0 * [misc]none: (1.5567451015893508e-50): 0 * [misc]none: (3.408101142682615e-113): 0 * [misc]none: (1.6458733605865993e-55): 0 * [misc]none: (4.718938084187299e-44): 0 * [misc]none: (5.074843796746761e-264): 0 * [misc]none: (1.7364409891568008e-267): 0 * [misc]none: (1.7709814199603185e-248): 0 * [misc]none: (2.0769573767287482e-304): 0 * [misc]none: (5.306441188360666e-59): 0 * [misc]none: (4.739581624122418e-235): 0 * [misc]none: (3.241550165346134e-21): 2 * [misc]none: (7.641034589777101e-98): 0 * [misc]none: (3.870739942634173e-139): 0 * [misc]none: (1.285043823429664e-88): 0 * [misc]none: (5.105992271675965e-91): 0 * [misc]none: (4.769518420383615e-198): 0 * 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(4.319230432601922e-289): 0 * [misc]none: (6.0910080487156845e-145): 0 * [misc]none: (3.087465078472461e-297): 0 * [misc]none: (1.8641835944090122e-68): 0 * [misc]none: (2.9298628929536803e-07): 0 * [misc]none: (2.112352033422511e-76): 0 * [misc]none: (5.682432409793209e-103): 2 * [misc]none: (3.763740454339611e-154): 2 * [misc]none: (2.337605690906294e-85): 0 * [misc]none: (1.939469755263449e-274): 0 * [misc]none: (2.0558821145728443e-244): 2 * [misc]none: (7.118304679887613e-64): 0 * [misc]none: (2.3966615634258388e-54): 0 * [misc]none: (1.0609576781328471e-51): 0 * [misc]none: (1.9357477509582754e-93): 0 * [misc]none: (127403.86295705284): 0 * [misc]none: (2.0217918620332625e-85): 0 * [misc]none: (5.6334012743355e-180): 0 * [misc]none: (2.872174301870785e-238): 0 * [misc]none: (2.885576028912994e-235): 0 * [misc]none: (2.7377399598585416e-269): 2 * [misc]none: (1.2391428993123195e-53): 2 * [misc]none: (5.834035641946906e-257): 0 * [misc]none: (2.1519168903719224e-48): 0 * [misc]none: (2.467422452934927e-37): 0 * [misc]none: (5.976566162781828e-262): 0 * [misc]none: (1.638426277474575e-287): 0 * [misc]none: (7.549936203493533e-264): 0 * [misc]none: (161670548.36131597): 0 * [misc]none: (1.2154965615643017e-95): 0 * [misc]none: (1.7054753386147003e-193): 0 * [misc]none: (1.0400546097675973e-191): 0 * [misc]none: (1.2926844442603449e-272): 0 * [misc]none: (8.02593234133885e-135): 0 * [misc]none: (4.693484541613577e-225): 0 * [misc]none: (1.488087021136329e-285): 0 * [misc]none: (1.9700593229138827e-50): 2 * [misc]none: (1.6501972239963874e-258): 0 * [misc]none: (3.049268063166789e-38): 0 * [misc]none: (3.388041199273477e-265): 0 * [misc]none: (3.7476721237841876e-281): 0 * [misc]none: (4.811543151950025e-33): 0 * [misc]none: (1.7265727720717877e-65): 0 * [misc]none: (6.525431496731668e-64): 0 * [misc]none: (2.704077310435608e-253): 0 * [misc]none: (2.7511202385052856e-18): 0 * [misc]none: (3.82956155404422e-299): 2 * [misc]none: (4.296582624822391e-200): 0 * [misc]none: (9.139158849230913e-305): 0 * [misc]none: (6.683383915725252e-271): 0 * [misc]none: (1.830961252259433e-59): 0 * [misc]none: (4.068667347744151e-179): 2 * [misc]none: (3.853952974089327e-228): 0 * [misc]none: (6.009493492582987e-296): 0 * [misc]none: Picked alt (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2 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 2 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (/ (log f) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (log f) PI) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (/ (log f) PI) into (/ (log f) PI) * [misc]taylor: Taking taylor expansion of (/ (log f) PI) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (/ (log f) PI) into (/ (log f) PI) * [misc]backup-simplify: Simplify (/ (log f) PI) into (/ (log f) PI) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log f) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log f) PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log f) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log f) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log f) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log f) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (log f) PI) into (/ (log f) PI) * [misc]approximate: Taking taylor expansion of (/ (log (/ 1 f)) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 f)) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (/ (- (log f)) PI) into (* -1 (/ (log f) PI)) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 f)) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (/ (- (log f)) PI) into (* -1 (/ (log f) PI)) * [misc]backup-simplify: Simplify (* -1 (/ (log f) PI)) into (* -1 (/ (log f) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (log f) PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (log f) PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (log f) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (log f) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (log f) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (log f) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (log (/ 1 f)) PI)) into (* -1 (/ (log (/ 1 f)) PI)) * [misc]approximate: Taking taylor expansion of (/ (log (/ 1 (- f))) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- f))) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log f)) PI) into (/ (- (log -1) (log f)) PI) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- f))) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log f)) PI) into (/ (- (log -1) (log f)) PI) * [misc]backup-simplify: Simplify (/ (- (log -1) (log f)) PI) into (/ (- (log -1) (log f)) 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 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (log f)) PI) (/ 0 PI)))) 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 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (log f)) PI) (/ 0 PI)) (* 0 (/ 0 PI)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (log f)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (log f)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (log f)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (log f)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (log -1) (log (/ 1 (- f)))) PI) into (/ (- (log -1) (log (/ -1 f))) PI) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 4 (/ (log (/ 4 PI)) PI)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (log (/ 4 PI)) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ (log (/ 4 PI)) PI) into (/ (log (/ 4 PI)) PI) * [misc]taylor: Taking taylor expansion of (* 1/12 (* PI (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* PI (pow f 2)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]taylor: Taking taylor expansion of (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))) in f * [misc]taylor: Taking taylor expansion of (* 7/5760 (* (pow PI 3) (pow f 4))) in f * [misc]taylor: Taking taylor expansion of 7/5760 in f * [misc]backup-simplify: Simplify 7/5760 into 7/5760 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow f 4)) in f * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (pow f 4) in f * [misc]taylor: Taking taylor expansion of (* 4 (/ (log f) PI)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (log f) PI) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (/ (log f) PI) into (/ (log f) PI) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 4 (/ (log (/ 4 PI)) PI)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (log (/ 4 PI)) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ (log (/ 4 PI)) PI) into (/ (log (/ 4 PI)) PI) * [misc]taylor: Taking taylor expansion of (* 1/12 (* PI (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* PI (pow f 2)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]taylor: Taking taylor expansion of (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))) in f * [misc]taylor: Taking taylor expansion of (* 7/5760 (* (pow PI 3) (pow f 4))) in f * [misc]taylor: Taking taylor expansion of 7/5760 in f * [misc]backup-simplify: Simplify 7/5760 into 7/5760 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow f 4)) in f * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (pow f 4) in f * [misc]taylor: Taking taylor expansion of (* 4 (/ (log f) PI)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (log f) PI) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (/ (log f) PI) into (/ (log f) PI) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ 4 PI)) PI)) into (* 4 (/ (log (/ 4 PI)) PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ (log (/ 4 PI)) PI)) 0) into (* 4 (/ (log (/ 4 PI)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (log f) PI)) into (* 4 (/ (log f) PI)) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ (log f) PI))) into (* 4 (/ (log f) PI)) * [misc]backup-simplify: Simplify (- (* 4 (/ (log f) PI))) into (- (* 4 (/ (log f) PI))) * [misc]backup-simplify: Simplify (+ (* 4 (/ (log (/ 4 PI)) PI)) (- (* 4 (/ (log f) PI)))) into (- (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log f) PI))) * [misc]backup-simplify: Simplify (- (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log f) PI))) into (- (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log f) PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (log (/ 4 PI)) PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log f) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (log f) PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (log (/ 4 PI)) PI)))) into 0 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/12 PI)) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log f) PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (log f) PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (log (/ 4 PI)) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log f) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (log f) PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (log (/ 4 PI)) PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) * [misc]backup-simplify: Simplify (* 7/5760 (pow PI 3)) into (* 7/5760 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log f) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (log f) PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/5760 (pow PI 3)) 0) into (* 7/5760 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 7/5760 (pow PI 3))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 7/5760 (pow PI 3)))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 7/5760 (pow PI 3))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/5760 (pow PI 3))) (pow f 4)) (+ (* (* 1/12 PI) (pow f 2)) (- (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log f) PI))))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * [misc]approximate: Taking taylor expansion of (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow (/ 1 f) 2)))) (+ (* 7/5760 (* (pow PI 3) (pow (/ 1 f) 4))) (* 4 (/ (log (/ 1 f)) PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow (/ 1 f) 2)))) (+ (* 7/5760 (* (pow PI 3) (pow (/ 1 f) 4))) (* 4 (/ (log (/ 1 f)) PI)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow (/ 1 f) 2)))) in f * [misc]taylor: Taking taylor expansion of (* 4 (/ (log (/ 4 PI)) PI)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (log (/ 4 PI)) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ (log (/ 4 PI)) PI) into (/ (log (/ 4 PI)) PI) * [misc]taylor: Taking taylor expansion of (* 1/12 (* PI (pow (/ 1 f) 2))) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* PI (pow (/ 1 f) 2)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 2 (- (log f))) into (* -2 (log f)) * [misc]backup-simplify: Simplify (exp (* -2 (log f))) into (pow f -2) * [misc]taylor: Taking taylor expansion of (+ (* 7/5760 (* (pow PI 3) (pow (/ 1 f) 4))) (* 4 (/ (log (/ 1 f)) PI))) in f * [misc]taylor: Taking taylor expansion of (* 7/5760 (* (pow PI 3) (pow (/ 1 f) 4))) in f * [misc]taylor: Taking taylor expansion of 7/5760 in f * [misc]backup-simplify: Simplify 7/5760 into 7/5760 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow (/ 1 f) 4)) in f * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 4 (- (log f))) into (* -4 (log f)) * [misc]backup-simplify: Simplify (exp (* -4 (log f))) into (pow f -4) * [misc]taylor: Taking taylor expansion of (* 4 (/ (log (/ 1 f)) PI)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 f)) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (/ (- (log f)) PI) into (* -1 (/ (log f) PI)) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow (/ 1 f) 2)))) (+ (* 7/5760 (* (pow PI 3) (pow (/ 1 f) 4))) (* 4 (/ (log (/ 1 f)) PI)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow (/ 1 f) 2)))) in f * [misc]taylor: Taking taylor expansion of (* 4 (/ (log (/ 4 PI)) PI)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (log (/ 4 PI)) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ (log (/ 4 PI)) PI) into (/ (log (/ 4 PI)) PI) * [misc]taylor: Taking taylor expansion of (* 1/12 (* PI (pow (/ 1 f) 2))) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* PI (pow (/ 1 f) 2)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 2 (- (log f))) into (* -2 (log f)) * [misc]backup-simplify: Simplify (exp (* -2 (log f))) into (pow f -2) * [misc]taylor: Taking taylor expansion of (+ (* 7/5760 (* (pow PI 3) (pow (/ 1 f) 4))) (* 4 (/ (log (/ 1 f)) PI))) in f * [misc]taylor: Taking taylor expansion of (* 7/5760 (* (pow PI 3) (pow (/ 1 f) 4))) in f * [misc]taylor: Taking taylor expansion of 7/5760 in f * [misc]backup-simplify: Simplify 7/5760 into 7/5760 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow (/ 1 f) 4)) in f * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 4 (- (log f))) into (* -4 (log f)) * [misc]backup-simplify: Simplify (exp (* -4 (log f))) into (pow f -4) * [misc]taylor: Taking taylor expansion of (* 4 (/ (log (/ 1 f)) PI)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 f)) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (/ (- (log f)) PI) into (* -1 (/ (log f) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ 4 PI)) PI)) into (* 4 (/ (log (/ 4 PI)) PI)) * [misc]backup-simplify: Simplify (* PI (pow f -2)) into (/ PI (pow f 2)) * [misc]backup-simplify: Simplify (* 1/12 (/ PI (pow f 2))) into (* 1/12 (/ PI (pow f 2))) * [misc]backup-simplify: Simplify (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (/ PI (pow f 2)))) into (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (/ PI (pow f 2)))) * [misc]backup-simplify: Simplify (* (pow PI 3) (pow f -4)) into (/ (pow PI 3) (pow f 4)) * [misc]backup-simplify: Simplify (* 7/5760 (/ (pow PI 3) (pow f 4))) into (* 7/5760 (/ (pow PI 3) (pow f 4))) * [misc]backup-simplify: Simplify (* 4 (* -1 (/ (log f) PI))) into (* -4 (/ (log f) PI)) * [misc]backup-simplify: Simplify (+ (* 7/5760 (/ (pow PI 3) (pow f 4))) (* -4 (/ (log f) PI))) into (- (* 7/5760 (/ (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))) * [misc]backup-simplify: Simplify (- (- (* 7/5760 (/ (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) into (- (* 4 (/ (log f) PI)) (* 7/5760 (/ (pow PI 3) (pow f 4)))) * [misc]backup-simplify: Simplify (+ (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (/ PI (pow f 2)))) (- (* 4 (/ (log f) PI)) (* 7/5760 (/ (pow PI 3) (pow f 4))))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 4 (/ (log f) PI)) (* 1/12 (/ PI (pow f 2))))) (* 7/5760 (/ (pow PI 3) (pow f 4)))) * [misc]backup-simplify: Simplify (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 4 (/ (log f) PI)) (* 1/12 (/ PI (pow f 2))))) (* 7/5760 (/ (pow PI 3) (pow f 4)))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 4 (/ (log f) PI)) (* 1/12 (/ PI (pow f 2))))) (* 7/5760 (/ (pow PI 3) (pow f 4)))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (log (/ 4 PI)) PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow f -2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 (/ PI (pow f 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (* 0 (pow f -4))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/5760 0) (* 0 (/ (pow PI 3) (pow f 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (log f) PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (* -1 (/ (log f) PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (log (/ 4 PI)) PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow f -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (/ PI (pow f 2))))) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (- (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (+ (* 0 0) (* 0 (pow f -4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/5760 0) (+ (* 0 0) (* 0 (/ (pow PI 3) (pow f 4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (log f) PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (* -1 (/ (log f) PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (log (/ 4 PI)) PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log f))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow f -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI (pow f 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log f))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow f -4))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/5760 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow PI 3) (pow f 4)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (log f) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (log f) PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (log (/ 4 PI)) PI)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log f))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow f -2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI (pow f 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log f))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow f -4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/5760 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow PI 3) (pow f 4))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (log f) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (log f) PI))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (log (/ 4 PI)) PI))))))) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log f))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow f -2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI (pow f 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log f))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow f -4))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/5760 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow PI 3) (pow f 4)))))))) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (log f) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (log f) PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (log (/ 4 PI)) PI)))))))) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log f))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow f -2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI (pow f 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log f))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow f -4)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/5760 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow PI 3) (pow f 4))))))))) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (log f) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (log f) PI))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 4 (/ (log (/ 1 f)) PI)) (* 1/12 (/ PI (pow (/ 1 f) 2))))) (* 7/5760 (/ (pow PI 3) (pow (/ 1 f) 4)))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 4 (/ (log (/ 1 f)) PI)) (* 1/12 (* PI (pow f 2))))) (* 7/5760 (* (pow PI 3) (pow f 4)))) * [misc]approximate: Taking taylor expansion of (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow (/ 1 (- f)) 2)))) (+ (* 7/5760 (* (pow PI 3) (pow (/ 1 (- f)) 4))) (* 4 (/ (log (/ 1 (- f))) PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow (/ 1 (- f)) 2)))) (+ (* 7/5760 (* (pow PI 3) (pow (/ 1 (- f)) 4))) (* 4 (/ (log (/ 1 (- f))) PI)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow (/ 1 (- f)) 2)))) in f * [misc]taylor: Taking taylor expansion of (* 4 (/ (log (/ 4 PI)) PI)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (log (/ 4 PI)) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ (log (/ 4 PI)) PI) into (/ (log (/ 4 PI)) PI) * [misc]taylor: Taking taylor expansion of (* 1/12 (* PI (pow (/ 1 (- f)) 2))) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* PI (pow (/ 1 (- f)) 2)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log f))) into (* 2 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log f)))) into (exp (* 2 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (+ (* 7/5760 (* (pow PI 3) (pow (/ 1 (- f)) 4))) (* 4 (/ (log (/ 1 (- f))) PI))) in f * [misc]taylor: Taking taylor expansion of (* 7/5760 (* (pow PI 3) (pow (/ 1 (- f)) 4))) in f * [misc]taylor: Taking taylor expansion of 7/5760 in f * [misc]backup-simplify: Simplify 7/5760 into 7/5760 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow (/ 1 (- f)) 4)) in f * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 4 (- (log -1) (log f))) into (* 4 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 4 (- (log -1) (log f)))) into (exp (* 4 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (log (/ 1 (- f))) PI)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- f))) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log f)) PI) into (/ (- (log -1) (log f)) PI) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow (/ 1 (- f)) 2)))) (+ (* 7/5760 (* (pow PI 3) (pow (/ 1 (- f)) 4))) (* 4 (/ (log (/ 1 (- f))) PI)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow (/ 1 (- f)) 2)))) in f * [misc]taylor: Taking taylor expansion of (* 4 (/ (log (/ 4 PI)) PI)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (log (/ 4 PI)) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ (log (/ 4 PI)) PI) into (/ (log (/ 4 PI)) PI) * [misc]taylor: Taking taylor expansion of (* 1/12 (* PI (pow (/ 1 (- f)) 2))) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* PI (pow (/ 1 (- f)) 2)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log f))) into (* 2 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log f)))) into (exp (* 2 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (+ (* 7/5760 (* (pow PI 3) (pow (/ 1 (- f)) 4))) (* 4 (/ (log (/ 1 (- f))) PI))) in f * [misc]taylor: Taking taylor expansion of (* 7/5760 (* (pow PI 3) (pow (/ 1 (- f)) 4))) in f * [misc]taylor: Taking taylor expansion of 7/5760 in f * [misc]backup-simplify: Simplify 7/5760 into 7/5760 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow (/ 1 (- f)) 4)) in f * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 4 (- (log -1) (log f))) into (* 4 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 4 (- (log -1) (log f)))) into (exp (* 4 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (log (/ 1 (- f))) PI)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- f))) PI) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log f)) PI) into (/ (- (log -1) (log f)) PI) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ 4 PI)) PI)) into (* 4 (/ (log (/ 4 PI)) PI)) * [misc]backup-simplify: Simplify (* PI (exp (* 2 (- (log -1) (log f))))) into (* (exp (* 2 (- (log -1) (log f)))) PI) * [misc]backup-simplify: Simplify (* 1/12 (* (exp (* 2 (- (log -1) (log f)))) PI)) into (* 1/12 (* (exp (* 2 (- (log -1) (log f)))) PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (exp (* 2 (- (log -1) (log f)))) PI))) into (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (exp (* 2 (- (log -1) (log f)))) PI))) * [misc]backup-simplify: Simplify (* (pow PI 3) (exp (* 4 (- (log -1) (log f))))) into (* (pow PI 3) (exp (* 4 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (* 7/5760 (* (pow PI 3) (exp (* 4 (- (log -1) (log f)))))) into (* 7/5760 (* (pow PI 3) (exp (* 4 (- (log -1) (log f)))))) * [misc]backup-simplify: Simplify (* 4 (/ (- (log -1) (log f)) PI)) into (* 4 (/ (- (log -1) (log f)) PI)) * [misc]backup-simplify: Simplify (+ (* 7/5760 (* (pow PI 3) (exp (* 4 (- (log -1) (log f)))))) (* 4 (/ (- (log -1) (log f)) PI))) into (- (+ (* 4 (/ (log -1) PI)) (* 7/5760 (* (pow PI 3) (exp (* 4 (- (log -1) (log f))))))) (* 4 (/ (log f) PI))) * [misc]backup-simplify: Simplify (- (- (+ (* 4 (/ (log -1) PI)) (* 7/5760 (* (pow PI 3) (exp (* 4 (- (log -1) (log f))))))) (* 4 (/ (log f) PI)))) into (- (* 4 (/ (log f) PI)) (+ (* 4 (/ (log -1) PI)) (* 7/5760 (* (pow PI 3) (exp (* 4 (- (log -1) (log f)))))))) * [misc]backup-simplify: Simplify (+ (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (exp (* 2 (- (log -1) (log f)))) PI))) (- (* 4 (/ (log f) PI)) (+ (* 4 (/ (log -1) PI)) (* 7/5760 (* (pow PI 3) (exp (* 4 (- (log -1) (log f))))))))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 4 (/ (log f) PI)) (* 1/12 (* (exp (* 2 (- (log -1) (log f)))) PI)))) (+ (* 4 (/ (log -1) PI)) (* 7/5760 (* (pow PI 3) (exp (* 4 (- (log -1) (log f)))))))) * [misc]backup-simplify: Simplify (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 4 (/ (log f) PI)) (* 1/12 (* (exp (* 2 (- (log -1) (log f)))) PI)))) (+ (* 4 (/ (log -1) PI)) (* 7/5760 (* (pow PI 3) (exp (* 4 (- (log -1) (log f)))))))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 4 (/ (log f) PI)) (* 1/12 (* (exp (* 2 (- (log -1) (log f)))) PI)))) (+ (* 4 (/ (log -1) PI)) (* 7/5760 (* (pow PI 3) (exp (* 4 (- (log -1) (log f)))))))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (log (/ 4 PI)) PI))) 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 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (* 2 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 (* (exp (* 2 (- (log -1) (log f)))) PI))) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (* 0 (exp (* 4 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/5760 0) (* 0 (* (pow PI 3) (exp (* 4 (- (log -1) (log f))))))) 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 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (log f)) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ (- (log -1) (log f)) PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (log (/ 4 PI)) PI)))) 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 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1) (log f))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (* (exp (* 2 (- (log -1) (log f)))) PI)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (+ (* 0 0) (* 0 (exp (* 4 (- (log -1) (log f))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/5760 0) (+ (* 0 0) (* 0 (* (pow PI 3) (exp (* 4 (- (log -1) (log f)))))))) 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 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (log f)) PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ (- (log -1) (log f)) PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (log (/ 4 PI)) PI))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 2 (- (log -1) (log f)))) PI))))) 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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 4 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/5760 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI 3) (exp (* 4 (- (log -1) (log f))))))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (log f)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log -1) (log f)) PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (log (/ 4 PI)) PI)))))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log f)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1) (log f))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 2 (- (log -1) (log f)))) PI)))))) 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 (- 0) into 0 * [misc]backup-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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log f)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 4 (- (log -1) (log f))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/5760 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI 3) (exp (* 4 (- (log -1) (log f)))))))))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (log f)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log -1) (log f)) PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (log (/ 4 PI)) PI))))))) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log f)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1) (log f)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 2 (- (log -1) (log f)))) PI))))))) 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 (- 0) into 0 * [misc]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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log f)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 4 (- (log -1) (log f)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/5760 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI 3) (exp (* 4 (- (log -1) (log f))))))))))) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (log f)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log -1) (log f)) PI))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (log (/ 4 PI)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (log (/ 4 PI)) PI)))))))) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log f)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1) (log f))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 2 (- (log -1) (log f)))) PI)))))))) 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 (- 0) into 0 * [misc]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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log f)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 4 (- (log -1) (log f))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/5760 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI 3) (exp (* 4 (- (log -1) (log f)))))))))))) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (log f)) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log -1) (log f)) PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 4 (/ (log (/ 1 (- f))) PI)) (* 1/12 (* (exp (* 2 (- (log -1) (log (/ 1 (- f)))))) PI)))) (+ (* 4 (/ (log -1) PI)) (* 7/5760 (* (pow PI 3) (exp (* 4 (- (log -1) (log (/ 1 (- f)))))))))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 1/12 (* PI (exp (* 2 (- (log -1) (log (/ -1 f))))))) (* 4 (/ (log (/ -1 f)) PI)))) (+ (* 7/5760 (* (pow PI 3) (exp (* 4 (- (log -1) (log (/ -1 f))))))) (* 4 (/ (log -1) PI)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 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 (expm1 (log (/ 4 PI))) * [exit]simplify: Simplified to (expm1 (log (/ 4 PI))) * * * * [misc]progress: [ 2 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 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 (log1p (log (/ 4 PI))) * [exit]simplify: Simplified to (log1p (log (/ 4 PI))) * * * * [misc]progress: [ 3 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [enter]simplify: Simplifying (log (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (log (cbrt (/ 4 PI))) * * * * [misc]progress: [ 4 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (log (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * * * * [misc]progress: [ 5 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ 4 PI)) * * [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 (/ 4 PI)) * [exit]simplify: Simplified to (log (/ 4 PI)) * * * * [misc]progress: [ 6 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 4) * [exit]simplify: Simplified to (log 4) * [enter]simplify: Simplifying (log (/ 1 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (log PI)) * [exit]simplify: Simplified to (- (log PI)) * * * * [misc]progress: [ 7 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 4) * [exit]simplify: Simplified to (log 4) * [enter]simplify: Simplifying (log PI) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log PI) * [exit]simplify: Simplified to (log PI) * * * * [misc]progress: [ 8 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 4 PI)) * * [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 (/ 4 PI)) * [exit]simplify: Simplified to (log (/ 4 PI)) * * * * [misc]progress: [ 9 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 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 (log (log (/ 4 PI))) * [exit]simplify: Simplified to (log (log (/ 4 PI))) * * * * [misc]progress: [ 12 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 13 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * [enter]simplify: Simplifying (cbrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 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 (cbrt (log (/ 4 PI))) * [exit]simplify: Simplified to (cbrt (log (/ 4 PI))) * * * * [misc]progress: [ 14 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ 4 PI)) (log (/ 4 PI))) (log (/ 4 PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (pow (log (/ 4 PI)) 3) * [exit]simplify: Simplified to (pow (log (/ 4 PI)) 3) * * * * [misc]progress: [ 15 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 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 (sqrt (log (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * [enter]simplify: Simplifying (sqrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 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 (sqrt (log (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * * * * [misc]progress: [ 16 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow PI 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (expm1 (pow PI 3)) * [exit]simplify: Simplified to (expm1 (pow PI 3)) * * * * [misc]progress: [ 18 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow PI 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (log1p (pow PI 3)) * [exit]simplify: Simplified to (log1p (pow PI 3)) * * * * [misc]progress: [ 19 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log PI) 3) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* 3 (log PI)) * [exit]simplify: Simplified to (* 3 (log PI)) * * * * [misc]progress: [ 20 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* PI PI) * [exit]simplify: Simplified to (* PI PI) * * * * [misc]progress: [ 21 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow PI 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (* 3 (log PI)) * [exit]simplify: Simplified to (* 3 (log PI)) * * * * [misc]progress: [ 23 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow PI 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (exp (pow PI 3)) * [exit]simplify: Simplified to (exp (pow PI 3)) * * * * [misc]progress: [ 24 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow PI 3)) (cbrt (pow PI 3))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* PI PI) * [exit]simplify: Simplified to (* PI PI) * [enter]simplify: Simplifying (cbrt (pow PI 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * * * * [misc]progress: [ 25 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow PI 3) (pow PI 3)) (pow PI 3)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (pow (pow PI 3) 3) * [exit]simplify: Simplified to (pow (pow PI 3) 3) * * * * [misc]progress: [ 26 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* PI PI) * [exit]simplify: Simplified to (* PI PI) * * * * [misc]progress: [ 27 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow PI 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 3)) * [exit]simplify: Simplified to (sqrt (pow PI 3)) * [enter]simplify: Simplifying (sqrt (pow PI 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 3)) * [exit]simplify: Simplified to (sqrt (pow PI 3)) * * * * [misc]progress: [ 28 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (log f) PI)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (/ (log f) PI)) * [exit]simplify: Simplified to (expm1 (/ (log f) PI)) * * * * [misc]progress: [ 30 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (log f) PI)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (/ (log f) PI)) * [exit]simplify: Simplified to (log1p (/ (log f) PI)) * * * * [misc]progress: [ 31 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (log f) PI)) * * [misc]simplify: iters left: 4 (5 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 (log (/ (log f) PI)) * [exit]simplify: Simplified to (log (/ (log f) PI)) * * * * [misc]progress: [ 33 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (log f) PI)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ (log f) PI)) * [exit]simplify: Simplified to (exp (/ (log f) PI)) * * * * [misc]progress: [ 34 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (log f) PI)) (cbrt (/ (log f) PI))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (log f) PI)) (cbrt (/ (log f) PI))) * [exit]simplify: Simplified to (* (cbrt (/ (log f) PI)) (cbrt (/ (log f) PI))) * [enter]simplify: Simplifying (cbrt (/ (log f) PI)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (log f) PI)) * [exit]simplify: Simplified to (cbrt (/ (log f) PI)) * * * * [misc]progress: [ 35 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (log f) PI) (/ (log f) PI)) (/ (log f) PI)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (pow (/ (log f) PI) 3) * [exit]simplify: Simplified to (pow (/ (log f) PI) 3) * * * * [misc]progress: [ 36 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (log f) PI)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (log f) PI)) * [exit]simplify: Simplified to (sqrt (/ (log f) PI)) * [enter]simplify: Simplifying (sqrt (/ (log f) PI)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (log f) PI)) * [exit]simplify: Simplified to (sqrt (/ (log f) PI)) * * * * [misc]progress: [ 37 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log f)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log f)) * [exit]simplify: Simplified to (- (log f)) * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * * * * [misc]progress: [ 38 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [exit]simplify: Simplified to (/ 1 PI) * * * * [misc]progress: [ 40 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (log f)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ PI (log f)) * [exit]simplify: Simplified to (/ PI (log f)) * * * * [misc]progress: [ 41 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (cbrt (log f))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ PI (cbrt (log f))) * [exit]simplify: Simplified to (/ PI (cbrt (log f))) * * * * [misc]progress: [ 42 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (log f))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (log f))) * [exit]simplify: Simplified to (/ PI (sqrt (log f))) * * * * [misc]progress: [ 43 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (log f)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ PI (log f)) * [exit]simplify: Simplified to (/ PI (log f)) * * * * [misc]progress: [ 44 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (cbrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (cbrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (- (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (- (fma (/ 4 PI) (log (/ 4 PI)) (* (* f 1/12) (* f PI))) (fma (pow f 4) (* (* PI 7/5760) (* PI PI)) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (- (fma (/ 4 PI) (log (/ 4 PI)) (* (* f 1/12) (* f PI))) (fma (pow f 4) (* (* PI 7/5760) (* PI PI)) (* (/ 4 PI) (log f)))) * [enter]simplify: Simplifying (fma (- (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 45 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (cbrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (cbrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (- (* (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (- (fma (/ 4 PI) (log (/ 4 PI)) (* (* f PI) (* f 1/12))) (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (- (fma (/ 4 PI) (log (/ 4 PI)) (* (* f PI) (* f 1/12))) (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * [enter]simplify: Simplifying (fma (- (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 46 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (cbrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (cbrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (- (* (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))) 1))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (- (fma (* (* f f) PI) 1/12 (* (/ 4 PI) (log (/ 4 PI)))) (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (- (fma (* (* f f) PI) 1/12 (* (/ 4 PI) (log (/ 4 PI)))) (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * [enter]simplify: Simplifying (fma (- (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) 1 (* (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 47 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (sqrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (- (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (- (fma PI (* 1/12 (* f f)) (* (/ 4 PI) (log (/ 4 PI)))) (fma (* (* PI PI) (* 7/5760 PI)) (pow f 4) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (- (fma PI (* 1/12 (* f f)) (* (/ 4 PI) (log (/ 4 PI)))) (fma (* (* PI PI) (* 7/5760 PI)) (pow f 4) (* (/ 4 PI) (log f)))) * [enter]simplify: Simplifying (fma (- (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 48 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (sqrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (- (* (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * [exit]simplify: Simplified to (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * [enter]simplify: Simplifying (fma (- (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 49 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (sqrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (- (* (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))) 1))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (fma 1/12 (* f (* f PI)) (- (* (/ 4 PI) (log (/ 4 PI))) (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (/ (log f) (/ PI 4))))) * [exit]simplify: Simplified to (fma 1/12 (* f (* f PI)) (- (* (/ 4 PI) (log (/ 4 PI))) (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (/ (log f) (/ PI 4))))) * [enter]simplify: Simplifying (fma (- (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) 1 (* (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 50 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (- (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (- (fma (/ 4 PI) (log (/ 4 PI)) (* (* f f) (* 1/12 PI))) (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (- (fma (/ 4 PI) (log (/ 4 PI)) (* (* f f) (* 1/12 PI))) (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (* (/ 4 PI) (log f)))) * [enter]simplify: Simplifying (fma (- (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (cbrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 51 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (- (* (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (- (fma (/ 4 PI) (log (/ 4 PI)) (* (* f PI) (* f 1/12))) (fma (* (* PI PI) (* 7/5760 PI)) (pow f 4) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (- (fma (/ 4 PI) (log (/ 4 PI)) (* (* f PI) (* f 1/12))) (fma (* (* PI PI) (* 7/5760 PI)) (pow f 4) (* (/ 4 PI) (log f)))) * [enter]simplify: Simplifying (fma (- (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 52 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (- (* (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))) 1))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (fma (* (* f f) 1/12) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (pow f 4) (* (* PI PI) (* 7/5760 PI)) (* (/ 4 PI) (log f))))) * [exit]simplify: Simplified to (fma (* (* f f) 1/12) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (pow f 4) (* (* PI PI) (* 7/5760 PI)) (* (/ 4 PI) (log f))))) * [enter]simplify: Simplifying (fma (- (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) 1 (* (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 53 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (expm1 (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * [exit]simplify: Simplified to (expm1 (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * * * * [misc]progress: [ 54 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (log1p (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * [exit]simplify: Simplified to (log1p (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * * * * [misc]progress: [ 55 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (- (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (- (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * * * * [misc]progress: [ 56 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (- (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (- (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * * * * [misc]progress: [ 57 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (- (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (- (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * * * * [misc]progress: [ 58 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (exp (* 4 (/ (log (/ 4 PI)) PI))) (exp (* 1/12 (* PI (pow f 2))))) (* (exp (* 7/5760 (* (pow PI 3) (pow f 4)))) (exp (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (exp (+ (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) (- (* (* f 1/12) (* PI f)) (* (* PI PI) (* (pow f 4) (* PI 7/5760)))))) * [exit]simplify: Simplified to (exp (+ (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) (- (* (* f 1/12) (* PI f)) (* (* PI PI) (* (pow f 4) (* PI 7/5760)))))) * * * * [misc]progress: [ 59 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (exp (* 4 (/ (log (/ 4 PI)) PI))) (exp (* 1/12 (* PI (pow f 2))))) (exp (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (exp (fma (* 1/12 PI) (* f f) (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * [exit]simplify: Simplified to (exp (fma (* 1/12 PI) (* f f) (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * * * * [misc]progress: [ 60 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (* (exp (* 7/5760 (* (pow PI 3) (pow f 4)))) (exp (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (exp (fma (/ 4 PI) (log (/ 4 PI)) (- (* (* f PI) (* f 1/12)) (fma (* (* PI PI) (* 7/5760 PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * [exit]simplify: Simplified to (exp (fma (/ 4 PI) (log (/ 4 PI)) (- (* (* f PI) (* f 1/12)) (fma (* (* PI PI) (* 7/5760 PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * * * * [misc]progress: [ 61 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (exp (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (exp (- (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) (- (* (* 7/5760 (* PI PI)) (* (pow f 4) PI)) (* (* f f) (* 1/12 PI))))) * [exit]simplify: Simplified to (exp (- (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) (- (* (* 7/5760 (* PI PI)) (* (pow f 4) PI)) (* (* f f) (* 1/12 PI))))) * * * * [misc]progress: [ 62 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (log (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * [exit]simplify: Simplified to (log (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * * * * [misc]progress: [ 64 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (exp (+ (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) (- (* (* f PI) (* f 1/12)) (* (* (pow f 4) PI) (* 7/5760 (* PI PI)))))) * [exit]simplify: Simplified to (exp (+ (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) (- (* (* f PI) (* f 1/12)) (* (* (pow f 4) PI) (* 7/5760 (* PI PI)))))) * * * * [misc]progress: [ 65 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) (cbrt (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (* (* f 1/12) (* f PI)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))) (cbrt (- (- (* (* f 1/12) (* f PI)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))) * [exit]simplify: Simplified to (* (cbrt (- (- (* (* f 1/12) (* f PI)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))) (cbrt (- (- (* (* f 1/12) (* f PI)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))) * [enter]simplify: Simplifying (cbrt (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (cbrt (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * [exit]simplify: Simplified to (cbrt (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * * * * [misc]progress: [ 66 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (pow (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* PI PI) (* 7/5760 PI)) (pow f 4) (* (/ 4 PI) (log f))))) 3) * [exit]simplify: Simplified to (pow (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* PI PI) (* 7/5760 PI)) (pow f 4) (* (/ 4 PI) (log f))))) 3) * * * * [misc]progress: [ 67 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (sqrt (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * [exit]simplify: Simplified to (sqrt (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * [enter]simplify: Simplifying (sqrt (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (sqrt (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * [exit]simplify: Simplified to (sqrt (fma (* 1/12 (* f f)) PI (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))))) * * * * [misc]progress: [ 68 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (pow (* 4 (/ (log (/ 4 PI)) PI)) 3) (pow (* 1/12 (* PI (pow f 2))) 3)) (+ (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 7/5760 (* (pow PI 3) (pow f 4)))) (- (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI))) (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) (* (+ (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (- (* (* 1/12 (* PI (pow f 2))) (* 1/12 (* PI (pow f 2)))) (* (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (+ (pow (* 7/5760 (* (pow PI 3) (pow f 4))) 3) (pow (* 4 (/ (log f) PI)) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (- (* (fma (* 4 (/ (log f) PI)) (- (* 4 (/ (log f) PI)) (* (pow f 4) (* (* 7/5760 PI) (* PI PI)))) (* (* (pow f 4) (* (* 7/5760 PI) (* PI PI))) (* (pow f 4) (* (* 7/5760 PI) (* PI PI))))) (fma (pow 4 3) (pow (/ (log (/ 4 PI)) PI) 3) (pow (* (* f f) (* PI 1/12)) 3))) (* (fma (* (* f f) (* PI 1/12)) (- (* (* f f) (* PI 1/12)) (* 4 (/ (log (/ 4 PI)) PI))) (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI)))) (fma (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI))) (* 4 (/ (log f) PI)) (pow (* (pow f 4) (* (* 7/5760 PI) (* PI PI))) 3)))) * [exit]simplify: Simplified to (- (* (fma (* 4 (/ (log f) PI)) (- (* 4 (/ (log f) PI)) (* (pow f 4) (* (* 7/5760 PI) (* PI PI)))) (* (* (pow f 4) (* (* 7/5760 PI) (* PI PI))) (* (pow f 4) (* (* 7/5760 PI) (* PI PI))))) (fma (pow 4 3) (pow (/ (log (/ 4 PI)) PI) 3) (pow (* (* f f) (* PI 1/12)) 3))) (* (fma (* (* f f) (* PI 1/12)) (- (* (* f f) (* PI 1/12)) (* 4 (/ (log (/ 4 PI)) PI))) (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI)))) (fma (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI))) (* 4 (/ (log f) PI)) (pow (* (pow f 4) (* (* 7/5760 PI) (* PI PI))) 3)))) * [enter]simplify: Simplifying (* (+ (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (- (* (* 1/12 (* PI (pow f 2))) (* 1/12 (* PI (pow f 2)))) (* (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (+ (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 7/5760 (* (pow PI 3) (pow f 4)))) (- (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI))) (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (430 enodes) * [exit]simplify: Simplified to (* (fma (- (* (* 1/12 f) (* PI f)) (* (/ 4 PI) (log (/ 4 PI)))) (* (* 1/12 f) (* PI f)) (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI))))) (fma (- (* (/ 4 PI) (log f)) (* (* (* PI PI) 7/5760) (* PI (pow f 4)))) (* (/ 4 PI) (log f)) (* (* (* (* PI PI) 7/5760) (* PI (pow f 4))) (* (* (* PI PI) 7/5760) (* PI (pow f 4)))))) * [exit]simplify: Simplified to (* (fma (- (* (* 1/12 f) (* PI f)) (* (/ 4 PI) (log (/ 4 PI)))) (* (* 1/12 f) (* PI f)) (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI))))) (fma (- (* (/ 4 PI) (log f)) (* (* (* PI PI) 7/5760) (* PI (pow f 4)))) (* (/ 4 PI) (log f)) (* (* (* (* PI PI) 7/5760) (* PI (pow f 4))) (* (* (* PI PI) 7/5760) (* PI (pow f 4)))))) * * * * [misc]progress: [ 69 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (pow (* 4 (/ (log (/ 4 PI)) PI)) 3) (pow (* 1/12 (* PI (pow f 2))) 3)) (- (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (+ (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (- (* (* 1/12 (* PI (pow f 2))) (* 1/12 (* PI (pow f 2)))) (* (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (- (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 7/5760 (* (pow PI 3) (pow f 4)))) (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (441 enodes) * [exit]simplify: Simplified to (- (* (- (* (* 7/5760 PI) (* (* PI PI) (pow f 4))) (* (/ 4 PI) (log f))) (fma (* (* 1/12 f) (* f PI)) (* (* (* 1/12 f) (* f PI)) (* (* 1/12 f) (* f PI))) (pow (* (/ 4 PI) (log (/ 4 PI))) 3))) (* (fma (* (* 1/12 f) (* f PI)) (- (* (* 1/12 f) (* f PI)) (* (/ 4 PI) (log (/ 4 PI)))) (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI))))) (- (* (* (* 7/5760 PI) (* (* PI PI) (pow f 4))) (* (* 7/5760 PI) (* (* PI PI) (pow f 4)))) (* (* (/ 4 PI) (log f)) (* (/ 4 PI) (log f)))))) * [exit]simplify: Simplified to (- (* (- (* (* 7/5760 PI) (* (* PI PI) (pow f 4))) (* (/ 4 PI) (log f))) (fma (* (* 1/12 f) (* f PI)) (* (* (* 1/12 f) (* f PI)) (* (* 1/12 f) (* f PI))) (pow (* (/ 4 PI) (log (/ 4 PI))) 3))) (* (fma (* (* 1/12 f) (* f PI)) (- (* (* 1/12 f) (* f PI)) (* (/ 4 PI) (log (/ 4 PI)))) (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI))))) (- (* (* (* 7/5760 PI) (* (* PI PI) (pow f 4))) (* (* 7/5760 PI) (* (* PI PI) (pow f 4)))) (* (* (/ 4 PI) (log f)) (* (/ 4 PI) (log f)))))) * [enter]simplify: Simplifying (* (+ (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (- (* (* 1/12 (* PI (pow f 2))) (* 1/12 (* PI (pow f 2)))) (* (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (- (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (fma (* (* 1/12 f) (* PI f)) (- (* (* 1/12 f) (* PI f)) (* (/ 4 PI) (log (/ 4 PI)))) (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI))))) (- (* (* (pow f 4) (* 7/5760 PI)) (* PI PI)) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (* (fma (* (* 1/12 f) (* PI f)) (- (* (* 1/12 f) (* PI f)) (* (/ 4 PI) (log (/ 4 PI)))) (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI))))) (- (* (* (pow f 4) (* 7/5760 PI)) (* PI PI)) (* (/ 4 PI) (log f)))) * * * * [misc]progress: [ 70 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (* (* 1/12 (* PI (pow f 2))) (* 1/12 (* PI (pow f 2))))) (+ (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 7/5760 (* (pow PI 3) (pow f 4)))) (- (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI))) (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) (* (- (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (pow (* 7/5760 (* (pow PI 3) (pow f 4))) 3) (pow (* 4 (/ (log f) PI)) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (- (* (fma (* 4 (/ (log f) PI)) (- (* 4 (/ (log f) PI)) (* (pow f 4) (* (* 7/5760 PI) (* PI PI)))) (* (* (pow f 4) (* (* 7/5760 PI) (* PI PI))) (* (pow f 4) (* (* 7/5760 PI) (* PI PI))))) (fma (/ (* (log (/ 4 PI)) 4) PI) (/ (* (log (/ 4 PI)) 4) PI) (- (* (* (* f f) (* 1/12 PI)) (* (* f f) (* 1/12 PI)))))) (* (fma (/ (log (/ 4 PI)) PI) 4 (* (- 1/12) (* (* f f) PI))) (fma (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI))) (* 4 (/ (log f) PI)) (pow (* (pow f 4) (* (* 7/5760 PI) (* PI PI))) 3)))) * [exit]simplify: Simplified to (- (* (fma (* 4 (/ (log f) PI)) (- (* 4 (/ (log f) PI)) (* (pow f 4) (* (* 7/5760 PI) (* PI PI)))) (* (* (pow f 4) (* (* 7/5760 PI) (* PI PI))) (* (pow f 4) (* (* 7/5760 PI) (* PI PI))))) (fma (/ (* (log (/ 4 PI)) 4) PI) (/ (* (log (/ 4 PI)) 4) PI) (- (* (* (* f f) (* 1/12 PI)) (* (* f f) (* 1/12 PI)))))) (* (fma (/ (log (/ 4 PI)) PI) 4 (* (- 1/12) (* (* f f) PI))) (fma (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI))) (* 4 (/ (log f) PI)) (pow (* (pow f 4) (* (* 7/5760 PI) (* PI PI))) 3)))) * [enter]simplify: Simplifying (* (- (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 7/5760 (* (pow PI 3) (pow f 4)))) (- (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI))) (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (* (fma (- (* (/ 4 PI) (log f)) (* (* (pow f 4) (* 7/5760 PI)) (* PI PI))) (* (/ 4 PI) (log f)) (* (* (* (pow f 4) (* 7/5760 PI)) (* PI PI)) (* (* (pow f 4) (* 7/5760 PI)) (* PI PI)))) (- (* (/ 4 PI) (log (/ 4 PI))) (* (* 1/12 f) (* f PI)))) * [exit]simplify: Simplified to (* (fma (- (* (/ 4 PI) (log f)) (* (* (pow f 4) (* 7/5760 PI)) (* PI PI))) (* (/ 4 PI) (log f)) (* (* (* (pow f 4) (* 7/5760 PI)) (* PI PI)) (* (* (pow f 4) (* 7/5760 PI)) (* PI PI)))) (- (* (/ 4 PI) (log (/ 4 PI))) (* (* 1/12 f) (* f PI)))) * * * * [misc]progress: [ 71 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (* (* 1/12 (* PI (pow f 2))) (* 1/12 (* PI (pow f 2))))) (- (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (- (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (- (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 7/5760 (* (pow PI 3) (pow f 4)))) (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (* (- (* (pow f 4) (* (* PI 7/5760) (* PI PI))) (* (/ 4 PI) (log f))) (- (- (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI)))) (* (* (* f f) (* 1/12 PI)) (* (* f f) (* 1/12 PI)))) (* (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f))) (- (* (/ 4 PI) (log (/ 4 PI))) (* (* f f) (* 1/12 PI)))))) * [exit]simplify: Simplified to (* (- (* (pow f 4) (* (* PI 7/5760) (* PI PI))) (* (/ 4 PI) (log f))) (- (- (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI)))) (* (* (* f f) (* 1/12 PI)) (* (* f f) (* 1/12 PI)))) (* (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f))) (- (* (/ 4 PI) (log (/ 4 PI))) (* (* f f) (* 1/12 PI)))))) * [enter]simplify: Simplifying (* (- (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (- (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * [exit]simplify: Simplified to (* (- (* (/ 4 PI) (log (/ 4 PI))) (* (* f 1/12) (* f PI))) (- (* (* (* 7/5760 PI) (pow f 4)) (* PI PI)) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (* (- (* (/ 4 PI) (log (/ 4 PI))) (* (* f 1/12) (* f PI))) (- (* (* (* 7/5760 PI) (pow f 4)) (* PI PI)) (* (/ 4 PI) (log f)))) * * * * [misc]progress: [ 72 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) 3) (pow (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))) 3)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (fma (* (fma (* (* f f) PI) 1/12 (* (/ 4 PI) (log (/ 4 PI)))) (fma (* (* f f) PI) 1/12 (* (/ 4 PI) (log (/ 4 PI))))) (fma (* (* f f) PI) 1/12 (* (/ 4 PI) (log (/ 4 PI)))) (* (- (fma (* (* PI PI) (* PI 7/5760)) (pow f 4) (* (/ 4 PI) (log f)))) (* (fma (* (* PI PI) (* PI 7/5760)) (pow f 4) (* (/ 4 PI) (log f))) (fma (* (* PI PI) (* PI 7/5760)) (pow f 4) (* (/ 4 PI) (log f)))))) * [exit]simplify: Simplified to (fma (* (fma (* (* f f) PI) 1/12 (* (/ 4 PI) (log (/ 4 PI)))) (fma (* (* f f) PI) 1/12 (* (/ 4 PI) (log (/ 4 PI))))) (fma (* (* f f) PI) 1/12 (* (/ 4 PI) (log (/ 4 PI)))) (* (- (fma (* (* PI PI) (* PI 7/5760)) (pow f 4) (* (/ 4 PI) (log f)))) (* (fma (* (* PI PI) (* PI 7/5760)) (pow f 4) (* (/ 4 PI) (log f))) (fma (* (* PI PI) (* PI 7/5760)) (pow f 4) (* (/ 4 PI) (log f)))))) * [enter]simplify: Simplifying (+ (* (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (+ (* (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (fma (+ (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f))) (fma (* 1/12 PI) (* f f) (* (/ 4 PI) (log (/ 4 PI))))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f))) (* (fma (* 1/12 PI) (* f f) (* (/ 4 PI) (log (/ 4 PI)))) (fma (* 1/12 PI) (* f f) (* (/ 4 PI) (log (/ 4 PI)))))) * [exit]simplify: Simplified to (fma (+ (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f))) (fma (* 1/12 PI) (* f f) (* (/ 4 PI) (log (/ 4 PI))))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f))) (* (fma (* 1/12 PI) (* f f) (* (/ 4 PI) (log (/ 4 PI)))) (fma (* 1/12 PI) (* f f) (* (/ 4 PI) (log (/ 4 PI)))))) * * * * [misc]progress: [ 73 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (- (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (- (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * * * * [misc]progress: [ 74 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (* (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (- (* (fma (* (* f f) PI) 1/12 (* (/ 4 PI) (log (/ 4 PI)))) (fma (* (* f f) PI) 1/12 (* (/ 4 PI) (log (/ 4 PI))))) (* (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f))))) * [exit]simplify: Simplified to (- (* (fma (* (* f f) PI) 1/12 (* (/ 4 PI) (log (/ 4 PI)))) (fma (* (* f f) PI) 1/12 (* (/ 4 PI) (log (/ 4 PI))))) (* (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f))))) * [enter]simplify: Simplifying (+ (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (fma PI (fma (pow f 4) (* (* 7/5760 PI) PI) (* 1/12 (* f f))) (fma (/ 4 PI) (log (/ 4 PI)) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (fma PI (fma (pow f 4) (* (* 7/5760 PI) PI) (* 1/12 (* f f))) (fma (/ 4 PI) (log (/ 4 PI)) (* (/ 4 PI) (log f)))) * * * * [misc]progress: [ 76 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (+ (sqrt (fma (* (* PI PI) (* 7/5760 PI)) (pow f 4) (/ (log f) (/ PI 4)))) (sqrt (fma (/ 4 PI) (log (/ 4 PI)) (* (* f PI) (* f 1/12))))) * [exit]simplify: Simplified to (+ (sqrt (fma (* (* PI PI) (* 7/5760 PI)) (pow f 4) (/ (log f) (/ PI 4)))) (sqrt (fma (/ 4 PI) (log (/ 4 PI)) (* (* f PI) (* f 1/12))))) * [enter]simplify: Simplifying (- (sqrt (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2))))) (sqrt (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (- (sqrt (fma (/ 4 PI) (log (/ 4 PI)) (* (* f PI) (* f 1/12)))) (sqrt (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (/ (log f) (/ PI 4))))) * [exit]simplify: Simplified to (- (sqrt (fma (/ 4 PI) (log (/ 4 PI)) (* (* f PI) (* f 1/12)))) (sqrt (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (/ (log f) (/ PI 4))))) * * * * [misc]progress: [ 77 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (fma f (* PI (* f 1/12)) (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f))))) * [exit]simplify: Simplified to (fma f (* PI (* f 1/12)) (- (* (/ 4 PI) (log (/ 4 PI))) (fma (* (* 7/5760 PI) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f))))) * * * * [misc]progress: [ 78 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (* 7/5760 (* (pow PI 3) (pow f 4)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * * [misc]simplify: iters left: 2 (492 enodes) * [exit]simplify: Simplified to (fma PI (fma (* (pow f 4) (* PI PI)) (- 7/5760) (* 1/12 (* f f))) (* (/ 4 PI) (log (/ 4 PI)))) * [exit]simplify: Simplified to (fma PI (fma (* (pow f 4) (* PI PI)) (- 7/5760) (* 1/12 (* f f))) (* (/ 4 PI) (log (/ 4 PI)))) * * * * [misc]progress: [ 79 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/12 (* PI (pow f 2))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (- (* (* f PI) (* 1/12 f)) (fma (* (* PI PI) (* 7/5760 PI)) (pow f 4) (* (log f) (/ 4 PI)))) * [exit]simplify: Simplified to (- (* (* f PI) (* 1/12 f)) (fma (* (* PI PI) (* 7/5760 PI)) (pow f 4) (* (log f) (/ 4 PI)))) * * * * [misc]progress: [ 80 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (- (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (- (fma (* (* PI 7/5760) (* PI PI)) (pow f 4) (* (/ 4 PI) (log f)))) * * * * [misc]progress: [ 81 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (+ (* (- (* 1/12 PI)) (* f f)) (- (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (/ (log f) (/ PI 4))) (* (/ 4 PI) (log (/ 4 PI))))) * * * * [misc]progress: [ 82 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (+ (* (- (* 1/12 PI)) (* f f)) (- (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (/ (log f) (/ PI 4))) (* (/ 4 PI) (log (/ 4 PI))))) * * * * [misc]progress: [ 83 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (+ (* (- (* 1/12 PI)) (* f f)) (- (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (/ (log f) (/ PI 4))) (* (/ 4 PI) (log (/ 4 PI))))) * * * * [misc]progress: [ 84 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (+ (* (- (* 1/12 PI)) (* f f)) (- (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (/ (log f) (/ PI 4))) (* (/ 4 PI) (log (/ 4 PI))))) * * * * [misc]progress: [ 85 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (+ (* (- (* 1/12 PI)) (* f f)) (- (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (/ (log f) (/ PI 4))) (* (/ 4 PI) (log (/ 4 PI))))) * * * * [misc]progress: [ 86 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (+ (* (- (* 1/12 PI)) (* f f)) (- (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (/ (log f) (/ PI 4))) (* (/ 4 PI) (log (/ 4 PI))))) * * * * [misc]progress: [ 87 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (+ (* (- (* 1/12 PI)) (* f f)) (- (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (/ (log f) (/ PI 4))) (* (/ 4 PI) (log (/ 4 PI))))) * * * * [misc]progress: [ 88 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (* -1 (/ (log (/ 1 f)) PI)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (+ (- (* (* (* f 1/12) PI) (- f)) (* (/ 4 PI) (log (/ 4 PI)))) (fma (* 7/5760 PI) (* (* PI PI) (pow f 4)) (/ (log f) (/ PI 4)))) * * * * [misc]progress: [ 89 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (- (log -1) (log (/ -1 f))) PI))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (- (+ (* (- (* f f)) (* 1/12 PI)) (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (* (/ 4 PI) (log f)))) (* (/ 4 PI) (log (/ 4 PI)))) * * * * [misc]progress: [ 90 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (+ (* (- (* 1/12 PI)) (* f f)) (- (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (/ (log f) (/ PI 4))) (* (/ 4 PI) (log (/ 4 PI))))) * * * * [misc]progress: [ 91 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 4 (/ (log (/ 1 f)) PI)) (* 1/12 (* PI (pow f 2))))) (* 7/5760 (* (pow PI 3) (pow f 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (- (- (/ (log f) (/ PI 4)) (fma (* (* 7/5760 PI) (- PI)) (* (pow f 4) PI) (* (* f f) (* 1/12 PI)))) (* (/ 4 PI) (log (/ 4 PI)))) * * * * [misc]progress: [ 92 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 1/12 (* PI (exp (* 2 (- (log -1) (log (/ -1 f))))))) (* 4 (/ (log (/ -1 f)) PI)))) (+ (* 7/5760 (* (pow PI 3) (exp (* 4 (- (log -1) (log (/ -1 f))))))) (* 4 (/ (log -1) PI))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (- (- (* (/ 4 PI) (log (/ 4 PI)))) (- (fma (* 1/12 PI) (pow (exp 2) (+ 0 (log f))) (* (/ 4 PI) (log (/ -1 f)))) (fma (* (* PI PI) (* 7/5760 PI)) (pow (exp 4) (+ 0 (log f))) (* (/ 4 PI) (log -1))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 14 * [misc]none: All alts: 14 * [misc]none: Fresh alt: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ 1 (/ PI (log f)))))))) * [misc]none: Fresh alt: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (expm1 (log1p (pow PI 3))) (pow f 4))) (* 4 (/ (log f) PI)))))) * [misc]none: Fresh alt: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (* (cbrt (log f)) (cbrt (log f))) (/ PI (cbrt (log f))))))))) * [misc]none: Fresh alt: (λ (f) (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) 0))) * [misc]none: Fresh alt: (λ (f) (- (/ (- (* (+ (pow (* 4 (/ (log (/ 4 PI)) PI)) 3) (pow (* 1/12 (* PI (pow f 2))) 3)) (+ (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 7/5760 (* (pow PI 3) (pow f 4)))) (- (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI))) (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) (* (+ (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (- (* (* 1/12 (* PI (pow f 2))) (* 1/12 (* PI (pow f 2)))) (* (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (+ (pow (* 7/5760 (* (pow PI 3) (pow f 4))) 3) (pow (* 4 (/ (log f) PI)) 3)))) (* (fma (- (* (* 1/12 f) (* PI f)) (* (/ 4 PI) (log (/ 4 PI)))) (* (* 1/12 f) (* PI f)) (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI))))) (fma (- (* (/ 4 PI) (log f)) (* (* (* PI PI) 7/5760) (* PI (pow f 4)))) (* (/ 4 PI) (log f)) (* (* (* (* PI PI) 7/5760) (* PI (pow f 4))) (* (* (* PI PI) 7/5760) (* PI (pow f 4))))))))) * [misc]none: Fresh alt: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (cbrt (pow (/ (log f) PI) 3))))))) * [misc]none: Fresh alt: (λ (f) (- (/ (- (* (+ (pow (* 4 (/ (log (/ 4 PI)) PI)) 3) (pow (* 1/12 (* PI (pow f 2))) 3)) (- (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (+ (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (- (* (* 1/12 (* PI (pow f 2))) (* 1/12 (* PI (pow f 2)))) (* (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (- (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 7/5760 (* (pow PI 3) (pow f 4)))) (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI)))))) (* (fma (* (* 1/12 f) (* PI f)) (- (* (* 1/12 f) (* PI f)) (* (/ 4 PI) (log (/ 4 PI)))) (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI))))) (- (* (* (pow f 4) (* 7/5760 PI)) (* PI PI)) (* (/ 4 PI) (log f))))))) * [misc]none: Fresh alt: (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [misc]none: Fresh alt: (λ (f) (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [misc]none: Fresh alt: (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [misc]none: Fresh alt: (λ (f) (- (expm1 (log1p (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))))) * [misc]none: Fresh alt: (λ (f) (- (exp (log (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))))) * [misc]none: Fresh alt: (λ (f) (- (* (sqrt (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) (sqrt (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))))) * [misc]none: Fresh alt: (λ (f) (- (* (* (cbrt (- (- (* (* f 1/12) (* f PI)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))) (cbrt (- (- (* (* f 1/12) (* f PI)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))) (cbrt (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ 1 (/ PI (log f)))))))): 0 * [misc]none: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (expm1 (log1p (pow PI 3))) (pow f 4))) (* 4 (/ (log f) PI)))))): 1 * [misc]none: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (* (cbrt (log f)) (cbrt (log f))) (/ PI (cbrt (log f))))))))): 2 * [misc]none: (λ (f) (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) 0))): 3 * [misc]none: (λ (f) (- (/ (- (* (+ (pow (* 4 (/ (log (/ 4 PI)) PI)) 3) (pow (* 1/12 (* PI (pow f 2))) 3)) (+ (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 7/5760 (* (pow PI 3) (pow f 4)))) (- (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI))) (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) (* (+ (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (- (* (* 1/12 (* PI (pow f 2))) (* 1/12 (* PI (pow f 2)))) (* (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (+ (pow (* 7/5760 (* (pow PI 3) (pow f 4))) 3) (pow (* 4 (/ (log f) PI)) 3)))) (* (fma (- (* (* 1/12 f) (* PI f)) (* (/ 4 PI) (log (/ 4 PI)))) (* (* 1/12 f) (* PI f)) (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI))))) (fma (- (* (/ 4 PI) (log f)) (* (* (* PI PI) 7/5760) (* PI (pow f 4)))) (* (/ 4 PI) (log f)) (* (* (* (* PI PI) 7/5760) (* PI (pow f 4))) (* (* (* PI PI) 7/5760) (* PI (pow f 4))))))))): 4 * [misc]none: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (cbrt (pow (/ (log f) PI) 3))))))): 5 * [misc]none: (λ (f) (- (/ (- (* (+ (pow (* 4 (/ (log (/ 4 PI)) PI)) 3) (pow (* 1/12 (* PI (pow f 2))) 3)) (- (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (+ (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 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(2.0152844845402166e-297): 1 * [misc]none: (8.604490187894414e-112): 3 * [misc]none: (1.1753499799973743e-97): 0 * [misc]none: (1.7699153793529457e-292): 0 * [misc]none: (4.1993878019740277e-286): 1 * [misc]none: (1.3228826725861251e-83): 1 * [misc]none: (1.1326695724237201e-117): 0 * [misc]none: (2.0115496002781107e-145): 2 * [misc]none: (1.8862750447266752e-53): 0 * [misc]none: (1310698.3491744497): 1 * [misc]none: (3.0319757073152243e-73): 0 * [misc]none: (3.46946296425657e-151): 3 * [misc]none: (4.4617997614332734e-49): 0 * [misc]none: (5.1841759100413795e-161): 2 * [misc]none: (6.821311827045434e-30): 0 * [misc]none: (3.19314088639968e-300): 0 * [misc]none: (2.6209483109511002e-99): 3 * [misc]none: (3.9436987604242746e-188): 0 * [misc]none: (1.2987545615858837e-229): 0 * [misc]none: (1.3556558330338219e-279): 12 * [misc]none: (5.600091178152213e-210): 8 * [misc]none: (7.360949206952843e-212): 0 * [misc]none: (2.924154450481512e-86): 0 * [misc]none: (1.1766044207630259e-195): 0 * [misc]none: (3.125863179986306e-134): 2 * [misc]none: (4.319230432601922e-289): 0 * [misc]none: (6.0910080487156845e-145): 0 * [misc]none: (3.087465078472461e-297): 0 * [misc]none: (1.8641835944090122e-68): 1 * [misc]none: (2.9298628929536803e-07): 2 * [misc]none: (2.112352033422511e-76): 0 * [misc]none: (5.682432409793209e-103): 0 * [misc]none: (3.763740454339611e-154): 3 * [misc]none: (2.337605690906294e-85): 6 * [misc]none: (1.939469755263449e-274): 0 * [misc]none: (2.0558821145728443e-244): 3 * [misc]none: (7.118304679887613e-64): 0 * [misc]none: (2.3966615634258388e-54): 0 * [misc]none: (1.0609576781328471e-51): 0 * [misc]none: (1.9357477509582754e-93): 3 * [misc]none: (127403.86295705284): 13 * [misc]none: (2.0217918620332625e-85): 0 * [misc]none: (5.6334012743355e-180): 0 * [misc]none: (2.872174301870785e-238): 0 * [misc]none: (2.885576028912994e-235): 2 * [misc]none: (2.7377399598585416e-269): 3 * [misc]none: (1.2391428993123195e-53): 2 * [misc]none: (5.834035641946906e-257): 0 * [misc]none: (2.1519168903719224e-48): 0 * [misc]none: (2.467422452934927e-37): 1 * [misc]none: (5.976566162781828e-262): 1 * [misc]none: (1.638426277474575e-287): 1 * [misc]none: (7.549936203493533e-264): 0 * [misc]none: (161670548.36131597): 6 * [misc]none: (1.2154965615643017e-95): 0 * [misc]none: (1.7054753386147003e-193): 0 * [misc]none: (1.0400546097675973e-191): 0 * [misc]none: (1.2926844442603449e-272): 0 * [misc]none: (8.02593234133885e-135): 0 * [misc]none: (4.693484541613577e-225): 0 * [misc]none: (1.488087021136329e-285): 0 * [misc]none: (1.9700593229138827e-50): 2 * [misc]none: (1.6501972239963874e-258): 0 * [misc]none: (3.049268063166789e-38): 0 * [misc]none: (3.388041199273477e-265): 6 * [misc]none: (3.7476721237841876e-281): 4 * [misc]none: (4.811543151950025e-33): 2 * [misc]none: (1.7265727720717877e-65): 2 * [misc]none: (6.525431496731668e-64): 1 * [misc]none: (2.704077310435608e-253): 0 * [misc]none: (2.7511202385052856e-18): 5 * [misc]none: (3.82956155404422e-299): 2 * [misc]none: (4.296582624822391e-200): 0 * [misc]none: (9.139158849230913e-305): 0 * [misc]none: (6.683383915725252e-271): 0 * [misc]none: (1.830961252259433e-59): 4 * [misc]none: (4.068667347744151e-179): 3 * [misc]none: (3.853952974089327e-228): 0 * [misc]none: (6.009493492582987e-296): 0 * [misc]none: Picked alt (λ (f) (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) 0))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 3 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 3 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log f) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log f) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI))) * [misc]backup-simplify: Simplify (+ (log f) (- (log (/ 4 PI)))) into (- (log f) (log (/ 4 PI))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) into (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) into (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log f) (log (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log (/ 4 PI)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) into (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log (/ 4 PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI))) * [misc]backup-simplify: Simplify (+ (- (log f)) (- (log (/ 4 PI)))) into (- (+ (log f) (log (/ 4 PI)))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (+ (log f) (log (/ 4 PI))))) into (* -4 (/ (+ (log f) (log (/ 4 PI))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (+ (log f) (log (/ 4 PI))) PI)) into (* -4 (/ (+ (log f) (log (/ 4 PI))) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (+ (log f) (log (/ 4 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (- (+ (log f) (log (/ 4 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log f) (log (/ 4 PI)))))))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log f) (log (/ 4 PI))))))))) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log f) (log (/ 4 PI)))))))))) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log f) (log (/ 4 PI))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 PI))) PI)) into (* -4 (/ (+ (log (/ 4 PI)) (log (/ 1 f))) PI)) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log (/ 4 PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI))) * [misc]backup-simplify: Simplify (+ (- (log -1) (log f)) (- (log (/ 4 PI)))) into (- (log -1) (+ (log f) (log (/ 4 PI)))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log -1) (+ (log f) (log (/ 4 PI))))) into (* 4 (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI)) into (* 4 (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) 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 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log -1) (+ (log f) (log (/ 4 PI)))))) 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 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log f) (log (/ 4 PI))))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log f) (log (/ 4 PI)))))))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log f) (log (/ 4 PI))))))))) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log f) (log (/ 4 PI)))))))))) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log f) (log (/ 4 PI))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (- (log -1) (+ (log (/ 1 (- f))) (log (/ 4 PI)))) PI)) into (* 4 (/ (- (log -1) (+ (log (/ -1 f)) (log (/ 4 PI)))) PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 3 1) * [misc]approximate: Taking taylor expansion of (* f 1/12) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* f 1/12) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 1/12) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (* 0 1/12) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/12)) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/12))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/12)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/12 f) into (* 1/12 f) * [misc]approximate: Taking taylor expansion of (* (/ 1 f) 1/12) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/12) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/12) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (* 1 1/12) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/12)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/12))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/12 (/ 1 (/ 1 f))) into (* 1/12 f) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- f)) 1/12) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/12) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/12) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (* -1 1/12) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [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 1/12)) 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) (+ (* 0 0) (* 0 1/12))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/12 (/ 1 (/ 1 (- f)))) into (* 1/12 f) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 3 2) * [misc]approximate: Taking taylor expansion of (* f PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 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 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 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI f) into (* PI f) * [misc]approximate: Taking taylor expansion of (* (/ 1 f) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 (/ 1 f))) into (* PI f) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- f)) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) 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 (+ (* -1 0) (* 0 PI)) 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) (+ (* 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) 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 (+ (* -1 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- f)))) into (* PI f) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 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 (expm1 (log (/ 4 PI))) * [exit]simplify: Simplified to (expm1 (log (/ 4 PI))) * * * * [misc]progress: [ 2 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 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 (log1p (log (/ 4 PI))) * [exit]simplify: Simplified to (log1p (log (/ 4 PI))) * * * * [misc]progress: [ 3 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [enter]simplify: Simplifying (log (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (log (cbrt (/ 4 PI))) * * * * [misc]progress: [ 4 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (log (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * * * * [misc]progress: [ 5 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ 4 PI)) * * [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 (/ 4 PI)) * [exit]simplify: Simplified to (log (/ 4 PI)) * * * * [misc]progress: [ 6 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 4) * [exit]simplify: Simplified to (log 4) * [enter]simplify: Simplifying (log (/ 1 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (log PI)) * [exit]simplify: Simplified to (- (log PI)) * * * * [misc]progress: [ 7 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 4) * [exit]simplify: Simplified to (log 4) * [enter]simplify: Simplifying (log PI) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log PI) * [exit]simplify: Simplified to (log PI) * * * * [misc]progress: [ 8 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 4 PI)) * * [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 (/ 4 PI)) * [exit]simplify: Simplified to (log (/ 4 PI)) * * * * [misc]progress: [ 9 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 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 (log (log (/ 4 PI))) * [exit]simplify: Simplified to (log (log (/ 4 PI))) * * * * [misc]progress: [ 12 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 13 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * [enter]simplify: Simplifying (cbrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 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 (cbrt (log (/ 4 PI))) * [exit]simplify: Simplified to (cbrt (log (/ 4 PI))) * * * * [misc]progress: [ 14 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ 4 PI)) (log (/ 4 PI))) (log (/ 4 PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (pow (log (/ 4 PI)) 3) * [exit]simplify: Simplified to (pow (log (/ 4 PI)) 3) * * * * [misc]progress: [ 15 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 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 (sqrt (log (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * [enter]simplify: Simplifying (sqrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 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 (sqrt (log (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * * * * [misc]progress: [ 16 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (expm1 (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI)))) * [exit]simplify: Simplified to (expm1 (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI)))) * * * * [misc]progress: [ 18 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (log1p (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI)))) * [exit]simplify: Simplified to (log1p (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI)))) * * * * [misc]progress: [ 19 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (* (/ 4 PI) (log f))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (* (/ 4 PI) (log f))) * * * * [misc]progress: [ 20 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 4 PI)) (log (- (log f) (log (/ 4 PI))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (- (log f) (log (/ 4 PI))))) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 22 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [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 (94 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (log (fma (log (/ PI 4)) (/ 4 PI) (* (/ 4 PI) (log f)))) * [exit]simplify: Simplified to (log (fma (log (/ PI 4)) (/ 4 PI) (* (/ 4 PI) (log f)))) * * * * [misc]progress: [ 23 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (460 enodes) * [exit]simplify: Simplified to (pow (/ f (/ 4 PI)) (/ 4 PI)) * [exit]simplify: Simplified to (pow (/ f (/ 4 PI)) (/ 4 PI)) * * * * [misc]progress: [ 24 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI)) (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * [exit]simplify: Simplified to (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (- (log f) (log (/ 4 PI))) (pow (/ 4 PI) 3))) * [exit]simplify: Simplified to (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (- (log f) (log (/ 4 PI))) (pow (/ 4 PI) 3))) * * * * [misc]progress: [ 25 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (log (/ 4 PI)) (/ (- 4) PI) (* (/ 4 PI) (log f)))) (cbrt (fma (log (/ 4 PI)) (/ (- 4) PI) (* (/ 4 PI) (log f))))) * [exit]simplify: Simplified to (* (cbrt (fma (log (/ 4 PI)) (/ (- 4) PI) (* (/ 4 PI) (log f)))) (cbrt (fma (log (/ 4 PI)) (/ (- 4) PI) (* (/ 4 PI) (log f))))) * [enter]simplify: Simplifying (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (cbrt (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI)))) * [exit]simplify: Simplified to (cbrt (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI)))) * * * * [misc]progress: [ 26 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * [exit]simplify: Simplified to (pow (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) 3) * [exit]simplify: Simplified to (pow (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) 3) * * * * [misc]progress: [ 27 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (sqrt (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI)))) * [exit]simplify: Simplified to (sqrt (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI)))) * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (sqrt (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI)))) * [exit]simplify: Simplified to (sqrt (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI)))) * * * * [misc]progress: [ 28 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (- (pow (log f) 3) (pow (log (/ 4 PI)) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (fma (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log (/ 4 PI)) (- 4)) (* (* 4 (log f)) (* (log f) (log f)))) * [exit]simplify: Simplified to (fma (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log (/ 4 PI)) (- 4)) (* (* 4 (log f)) (* (log f) (log f)))) * [enter]simplify: Simplifying (* PI (+ (* (log f) (log f)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log f) (log (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (fma (log (/ 4 PI)) PI (* PI (log f))) (* (log f) (* PI (log f)))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (fma (log (/ 4 PI)) PI (* PI (log f))) (* (log f) (* PI (log f)))) * * * * [misc]progress: [ 29 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (- (* (log f) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (* (fma 4 (log (/ 4 PI)) (* 4 (log f))) (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (fma 4 (log (/ 4 PI)) (* 4 (log f))) (- (log f) (log (/ 4 PI)))) * [enter]simplify: Simplifying (* PI (+ (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (fma PI (log (/ 4 PI)) (* PI (log f))) * [exit]simplify: Simplified to (fma PI (log (/ 4 PI)) (* PI (log f))) * * * * [misc]progress: [ 30 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (log (/ 4 PI)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ 4 PI)) (* (/ 4 PI) (log f))) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ 4 PI)) (* (/ 4 PI) (log f))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (log (/ 4 PI))) 1 (* (log (/ 4 PI)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 32 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (cbrt (log (/ 4 PI))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (14 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 (312 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ 4 PI)) (* (log f) (/ 4 PI))) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ 4 PI)) (* (log f) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (cbrt (log (/ 4 PI)))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) (* (cbrt (log (/ 4 PI))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 33 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ 4 PI)) (* (log f) (/ 4 PI))) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ 4 PI)) (* (log f) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (sqrt (log (/ 4 PI)))) (sqrt (log (/ 4 PI))) (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 34 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (log (/ 4 PI)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ 4 PI)) (* (/ 4 PI) (log f))) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ 4 PI)) (* (/ 4 PI) (log f))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (log (/ 4 PI))) 1 (* (log (/ 4 PI)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 35 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (sqrt (log f)) (sqrt (log f)) (- (* (log (/ 4 PI)) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (/ (log f) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (/ (log f) (/ PI 4))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (log (/ 4 PI))) 1 (* (log (/ 4 PI)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 36 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (sqrt (log f)) (sqrt (log f)) (- (* (cbrt (log (/ 4 PI))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ 4 PI)) (* (log f) (/ 4 PI))) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ 4 PI)) (* (log f) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (cbrt (log (/ 4 PI)))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) (* (cbrt (log (/ 4 PI))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 37 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (sqrt (log f)) (sqrt (log f)) (- (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (/ 4 PI)) (* (/ 4 PI) (log f))) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (/ 4 PI)) (* (/ 4 PI) (log f))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (sqrt (log (/ 4 PI)))) (sqrt (log (/ 4 PI))) (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 38 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (sqrt (log f)) (sqrt (log f)) (- (* (log (/ 4 PI)) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (/ (log f) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (/ (log f) (/ PI 4))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (log (/ 4 PI))) 1 (* (log (/ 4 PI)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 39 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma 1 (log f) (- (* (log (/ 4 PI)) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- (/ 4 PI)) (* (log f) (/ 4 PI))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- (/ 4 PI)) (* (log f) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (log (/ 4 PI))) 1 (* (log (/ 4 PI)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 40 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma 1 (log f) (- (* (cbrt (log (/ 4 PI))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- (/ 4 PI)) (* (log f) (/ 4 PI))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- (/ 4 PI)) (* (log f) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (cbrt (log (/ 4 PI)))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) (* (cbrt (log (/ 4 PI))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 41 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma 1 (log f) (- (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (* (/ 4 PI) (log f))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (* (/ 4 PI) (log f))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (sqrt (log (/ 4 PI)))) (sqrt (log (/ 4 PI))) (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 42 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma 1 (log f) (- (* (log (/ 4 PI)) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- (/ 4 PI)) (* (log f) (/ 4 PI))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- (/ 4 PI)) (* (log f) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (log (/ 4 PI))) 1 (* (log (/ 4 PI)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 43 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log f)) * [exit]simplify: Simplified to (* (/ 4 PI) (log f)) * [enter]simplify: Simplifying (* (/ 4 PI) (- (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (log (/ 4 PI)) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ 4 PI)) (- (/ 4 PI))) * * * * [misc]progress: [ 44 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [enter]simplify: Simplifying (* (/ 4 PI) (log PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * * * * [misc]progress: [ 45 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log f)) * [exit]simplify: Simplified to (* (/ 4 PI) (log f)) * [enter]simplify: Simplifying (* (/ 4 PI) (- (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (log (/ 4 PI)) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ 4 PI)) (- (/ 4 PI))) * * * * [misc]progress: [ 46 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (log (/ 4 PI)) 1))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- (/ 4 PI)) (* (/ 4 PI) (log f))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- (/ 4 PI)) (* (/ 4 PI) (log f))) * [enter]simplify: Simplifying (* (fma (- (log (/ 4 PI))) 1 (* (log (/ 4 PI)) 1)) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 47 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (cbrt (log (/ 4 PI))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI))))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (* (log f) (/ 4 PI))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (* (log f) (/ 4 PI))) * [enter]simplify: Simplifying (* (fma (- (cbrt (log (/ 4 PI)))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) (* (cbrt (log (/ 4 PI))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 48 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (403 enodes) * [exit]simplify: Simplified to (fma (- (log f) (log 4)) (/ 4 PI) (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (fma (- (log f) (log 4)) (/ 4 PI) (* (/ 4 PI) (log PI))) * [enter]simplify: Simplifying (* (fma (- (sqrt (log (/ 4 PI)))) (sqrt (log (/ 4 PI))) (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 49 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (log (/ 4 PI)) 1))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- (/ 4 PI)) (* (/ 4 PI) (log f))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- (/ 4 PI)) (* (/ 4 PI) (log f))) * [enter]simplify: Simplifying (* (fma (- (log (/ 4 PI))) 1 (* (log (/ 4 PI)) 1)) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 50 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (sqrt (log f)) (sqrt (log f)) (- (* (log (/ 4 PI)) 1))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI))) * [exit]simplify: Simplified to (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (fma (- (log (/ 4 PI))) 1 (* (log (/ 4 PI)) 1)) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 51 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (sqrt (log f)) (sqrt (log f)) (- (* (cbrt (log (/ 4 PI))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI))))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (498 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (/ 4 PI)) (* (log f) (/ 4 PI))) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (/ 4 PI)) (* (log f) (/ 4 PI))) * [enter]simplify: Simplifying (* (fma (- (cbrt (log (/ 4 PI)))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) (* (cbrt (log (/ 4 PI))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 52 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (sqrt (log f)) (sqrt (log f)) (- (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (* (log f) (/ 4 PI))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (* (log f) (/ 4 PI))) * [enter]simplify: Simplifying (* (fma (- (sqrt (log (/ 4 PI)))) (sqrt (log (/ 4 PI))) (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 53 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (sqrt (log f)) (sqrt (log f)) (- (* (log (/ 4 PI)) 1))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI))) * [exit]simplify: Simplified to (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (fma (- (log (/ 4 PI))) 1 (* (log (/ 4 PI)) 1)) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 54 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma 1 (log f) (- (* (log (/ 4 PI)) 1))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (/ (log f) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (/ (log f) (/ PI 4))) * [enter]simplify: Simplifying (* (fma (- (log (/ 4 PI))) 1 (* (log (/ 4 PI)) 1)) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 55 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma 1 (log f) (- (* (cbrt (log (/ 4 PI))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI))))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (/ 4 PI)) (* (log f) (/ 4 PI))) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (/ 4 PI)) (* (log f) (/ 4 PI))) * [enter]simplify: Simplifying (* (fma (- (cbrt (log (/ 4 PI)))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) (* (cbrt (log (/ 4 PI))) (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 56 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma 1 (log f) (- (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- (/ 4 PI)) (* (log f) (/ 4 PI))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- (/ 4 PI)) (* (log f) (/ 4 PI))) * [enter]simplify: Simplifying (* (fma (- (sqrt (log (/ 4 PI)))) (sqrt (log (/ 4 PI))) (* (sqrt (log (/ 4 PI))) (sqrt (log (/ 4 PI))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 57 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma 1 (log f) (- (* (log (/ 4 PI)) 1))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (/ (log f) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (/ (log f) (/ PI 4))) * [enter]simplify: Simplifying (* (fma (- (log (/ 4 PI))) 1 (* (log (/ 4 PI)) 1)) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 58 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log f) (/ 4 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [enter]simplify: Simplifying (* (- (log (/ 4 PI))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (* (log (/ 4 PI)) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ 4 PI)) (- (/ 4 PI))) * * * * [misc]progress: [ 59 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log f) (log 4)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [enter]simplify: Simplifying (* (log PI) (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ (log PI) (/ PI 4)) * [exit]simplify: Simplified to (/ (log PI) (/ PI 4)) * * * * [misc]progress: [ 60 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log f) (/ 4 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [enter]simplify: Simplifying (* (- (log (/ 4 PI))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (* (log (/ 4 PI)) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ 4 PI)) (- (/ 4 PI))) * * * * [misc]progress: [ 61 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (* (cbrt (- (log f) (log (/ 4 PI)))) (cbrt (- (log f) (log (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (log f) (log (/ 4 PI)))) (cbrt (- (log f) (log (/ 4 PI))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (* (cbrt (- (log f) (log (/ 4 PI)))) (cbrt (- (log f) (log (/ 4 PI))))) (/ 4 PI)) * * * * [misc]progress: [ 62 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (sqrt (- (log f) (log (/ 4 PI))))) * * [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 (32 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (sqrt (- (log f) (log (/ 4 PI)))) (/ 4 PI)) * [exit]simplify: Simplified to (* (sqrt (- (log f) (log (/ 4 PI)))) (/ 4 PI)) * * * * [misc]progress: [ 63 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 64 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (+ (sqrt (log f)) (sqrt (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (sqrt (log (/ 4 PI))) (/ 4 PI) (* (/ 4 PI) (sqrt (log f)))) * [exit]simplify: Simplified to (fma (sqrt (log (/ 4 PI))) (/ 4 PI) (* (/ 4 PI) (sqrt (log f)))) * * * * [misc]progress: [ 65 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 66 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 67 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 PI)) (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 68 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 69 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (* (/ 4 PI) (log f))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (/ (- 4) PI) (* (/ 4 PI) (log f))) * * * * [misc]progress: [ 70 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 PI) (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (fma (/ (- 1) PI) (log (/ 4 PI)) (/ (log f) PI)) * [exit]simplify: Simplified to (fma (/ (- 1) PI) (log (/ 4 PI)) (/ (log f) PI)) * * * * [misc]progress: [ 71 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (pow (log f) 3) (pow (log (/ 4 PI)) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * [exit]simplify: Simplified to (- (* (* (/ 4 PI) (log f)) (* (log f) (log f))) (* (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log (/ 4 PI)) (/ 4 PI)))) * [exit]simplify: Simplified to (- (* (* (/ 4 PI) (log f)) (* (log f) (log f))) (* (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log (/ 4 PI)) (/ 4 PI)))) * * * * [misc]progress: [ 72 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (* (log f) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (* (fma (/ 4 PI) (log (/ 4 PI)) (* (/ 4 PI) (log f))) (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (fma (/ 4 PI) (log (/ 4 PI)) (* (/ 4 PI) (log f))) (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 73 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- 4) (* 4 (log f))) * [exit]simplify: Simplified to (fma (log (/ 4 PI)) (- 4) (* 4 (log f))) * * * * [misc]progress: [ 74 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (expm1 (* 1/12 f)) * [exit]simplify: Simplified to (expm1 (* 1/12 f)) * * * * [misc]progress: [ 76 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (log1p (* 1/12 f)) * [exit]simplify: Simplified to (log1p (* 1/12 f)) * * * * [misc]progress: [ 77 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* 1/12 f)) * [exit]simplify: Simplified to (log (* 1/12 f)) * * * * [misc]progress: [ 79 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* 1/12 f)) * [exit]simplify: Simplified to (exp (* 1/12 f)) * * * * [misc]progress: [ 80 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* f 1/12)) (cbrt (* f 1/12))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* 1/12 f)) (cbrt (* 1/12 f))) * [exit]simplify: Simplified to (* (cbrt (* 1/12 f)) (cbrt (* 1/12 f))) * [enter]simplify: Simplifying (cbrt (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 1/12 f)) * [exit]simplify: Simplified to (cbrt (* 1/12 f)) * * * * [misc]progress: [ 81 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* f 1/12) (* f 1/12)) (* f 1/12)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (pow (* 1/12 f) 3) * [exit]simplify: Simplified to (pow (* 1/12 f) 3) * * * * [misc]progress: [ 82 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/12 f)) * [exit]simplify: Simplified to (sqrt (* 1/12 f)) * [enter]simplify: Simplifying (sqrt (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/12 f)) * [exit]simplify: Simplified to (sqrt (* 1/12 f)) * * * * [misc]progress: [ 83 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (expm1 (* PI f)) * [exit]simplify: Simplified to (expm1 (* PI f)) * * * * [misc]progress: [ 86 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (log1p (* PI f)) * [exit]simplify: Simplified to (log1p (* PI f)) * * * * [misc]progress: [ 87 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* PI f)) * [exit]simplify: Simplified to (log (* PI f)) * * * * [misc]progress: [ 89 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* PI f)) * [exit]simplify: Simplified to (exp (* PI f)) * * * * [misc]progress: [ 90 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* f PI)) (cbrt (* f PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* PI f)) (cbrt (* PI f))) * [exit]simplify: Simplified to (* (cbrt (* PI f)) (cbrt (* PI f))) * [enter]simplify: Simplifying (cbrt (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* PI f)) * [exit]simplify: Simplified to (cbrt (* PI f)) * * * * [misc]progress: [ 91 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* f PI) (* f PI)) (* f PI)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (pow (* PI f) 3) * [exit]simplify: Simplified to (pow (* PI f) 3) * * * * [misc]progress: [ 92 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI f)) * [exit]simplify: Simplified to (sqrt (* PI f)) * [enter]simplify: Simplifying (sqrt (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI f)) * [exit]simplify: Simplified to (sqrt (* PI f)) * * * * [misc]progress: [ 93 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) 0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (- (fma (- (/ 4 PI)) (- (log f) (log (/ 4 PI))) (fma (* 7/5760 (* PI PI)) (* (pow f 4) (- PI)) (* (* 1/12 PI) (* f f))))) * * * * [misc]progress: [ 96 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) 0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (- (fma (- (/ 4 PI)) (- (log f) (log (/ 4 PI))) (fma (* 7/5760 (* PI PI)) (* (pow f 4) (- PI)) (* (* 1/12 PI) (* f f))))) * * * * [misc]progress: [ 97 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) 0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (- (fma (- (/ 4 PI)) (- (log f) (log (/ 4 PI))) (fma (* 7/5760 (* PI PI)) (* (pow f 4) (- PI)) (* (* 1/12 PI) (* f f))))) * * * * [misc]progress: [ 98 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (* 4 (/ (- (log f) (log (/ 4 PI))) PI))) 0)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (+ (- (* (- PI) (* (* 1/12 f) f)) (* (* (pow f 4) (* PI PI)) (* 7/5760 (- PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 99 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (* -4 (/ (+ (log (/ 4 PI)) (log (/ 1 f))) PI))) 0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (+ (+ (* (* PI PI) (* (* PI 7/5760) (pow f 4))) (* (* 1/12 f) (- (* f PI)))) (* (/ -4 PI) (- (log (/ 4 PI)) (log f)))) * * * * [misc]progress: [ 100 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (* 4 (/ (- (log -1) (+ (log (/ -1 f)) (log (/ 4 PI)))) PI))) 0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (+ (+ (* (* 1/12 f) (- (* f PI))) (* (* (* PI 7/5760) (pow f 4)) (* PI PI))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 101 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* 1/12 f) (* f PI))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) 0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (- (fma (- (/ 4 PI)) (- (log f) (log (/ 4 PI))) (fma (* 7/5760 (* PI PI)) (* (pow f 4) (- PI)) (* (* f PI) (* 1/12 f))))) * * * * [misc]progress: [ 102 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* 1/12 f) (* f PI))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) 0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (- (fma (- (/ 4 PI)) (- (log f) (log (/ 4 PI))) (fma (* 7/5760 (* PI PI)) (* (pow f 4) (- PI)) (* (* f PI) (* 1/12 f))))) * * * * [misc]progress: [ 103 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* 1/12 f) (* f PI))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) 0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (- (fma (- (/ 4 PI)) (- (log f) (log (/ 4 PI))) (fma (* 7/5760 (* PI PI)) (* (pow f 4) (- PI)) (* (* f PI) (* 1/12 f))))) * * * * [misc]progress: [ 104 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) 0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (- (fma (+ (- (log f)) (log (/ 4 PI))) (/ 4 PI) (fma (* 7/5760 (* PI PI)) (* (pow f 4) (- PI)) (* (* f f) (* 1/12 PI))))) * * * * [misc]progress: [ 105 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) 0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (- (fma (+ (- (log f)) (log (/ 4 PI))) (/ 4 PI) (fma (* 7/5760 (* PI PI)) (* (pow f 4) (- PI)) (* (* f f) (* 1/12 PI))))) * * * * [misc]progress: [ 106 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) 0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (- (fma (+ (- (log f)) (log (/ 4 PI))) (/ 4 PI) (fma (* 7/5760 (* PI PI)) (* (pow f 4) (- PI)) (* (* f f) (* 1/12 PI))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 14 * [misc]none: All alts: 14 * [misc]none: Fresh alt: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ 1 (/ PI (log f)))))))) * [misc]none: Fresh alt: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (expm1 (log1p (pow PI 3))) (pow f 4))) (* 4 (/ (log f) PI)))))) * [misc]none: Fresh alt: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (* (cbrt (log f)) (cbrt (log f))) (/ PI (cbrt (log f))))))))) * [misc]none: Fresh alt: (λ (f) (- (/ (- (* (+ (pow (* 4 (/ (log (/ 4 PI)) PI)) 3) (pow (* 1/12 (* PI (pow f 2))) 3)) (+ (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 7/5760 (* (pow PI 3) (pow f 4)))) (- (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI))) (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) (* (+ (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (- (* (* 1/12 (* PI (pow f 2))) (* 1/12 (* PI (pow f 2)))) (* (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (+ (pow (* 7/5760 (* (pow PI 3) (pow f 4))) 3) (pow (* 4 (/ (log f) PI)) 3)))) (* (fma (- (* (* 1/12 f) (* PI f)) (* (/ 4 PI) (log (/ 4 PI)))) (* (* 1/12 f) (* PI f)) (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI))))) (fma (- (* (/ 4 PI) (log f)) (* (* (* PI PI) 7/5760) (* PI (pow f 4)))) (* (/ 4 PI) (log f)) (* (* (* (* PI PI) 7/5760) (* PI (pow f 4))) (* (* (* PI PI) 7/5760) (* PI (pow f 4))))))))) * [misc]none: Fresh alt: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (cbrt (pow (/ (log f) PI) 3))))))) * [misc]none: Fresh alt: (λ (f) (- (/ (- (* (+ (pow (* 4 (/ (log (/ 4 PI)) PI)) 3) (pow (* 1/12 (* PI (pow f 2))) 3)) (- (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (+ (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (- (* (* 1/12 (* PI (pow f 2))) (* 1/12 (* PI (pow f 2)))) (* (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (- (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 7/5760 (* (pow PI 3) (pow f 4)))) (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI)))))) (* (fma (* (* 1/12 f) (* PI f)) (- (* (* 1/12 f) (* PI f)) (* (/ 4 PI) (log (/ 4 PI)))) (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI))))) (- (* (* (pow f 4) (* 7/5760 PI)) (* PI PI)) (* (/ 4 PI) (log f))))))) * [misc]none: Fresh alt: (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [misc]none: Fresh alt: (λ (f) (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [misc]none: Fresh alt: (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [misc]none: Fresh alt: (λ (f) (- (expm1 (log1p (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))))) * [misc]none: Fresh alt: (λ (f) (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) 0))) * [misc]none: Fresh alt: (λ (f) (- (exp (log (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))))) * [misc]none: Fresh alt: (λ (f) (- (* (sqrt (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) (sqrt (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))))) * [misc]none: Fresh alt: (λ (f) (- (* (* (cbrt (- (- (* (* f 1/12) (* f PI)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))) (cbrt (- (- (* (* f 1/12) (* f PI)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))) (cbrt (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ 1 (/ PI (log f)))))))): 0 * [misc]none: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (expm1 (log1p (pow PI 3))) (pow f 4))) (* 4 (/ (log f) PI)))))): 1 * [misc]none: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (* (cbrt (log f)) (cbrt (log f))) (/ PI (cbrt (log f))))))))): 2 * [misc]none: (λ (f) (- (/ (- (* (+ (pow (* 4 (/ (log (/ 4 PI)) PI)) 3) (pow (* 1/12 (* PI (pow f 2))) 3)) (+ (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 7/5760 (* (pow PI 3) (pow f 4)))) (- (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI))) (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))) (* (+ (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (- (* (* 1/12 (* PI (pow f 2))) (* 1/12 (* PI (pow f 2)))) (* (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (+ (pow (* 7/5760 (* (pow PI 3) (pow f 4))) 3) (pow (* 4 (/ (log f) PI)) 3)))) (* (fma (- (* (* 1/12 f) (* PI f)) (* (/ 4 PI) (log (/ 4 PI)))) (* (* 1/12 f) (* PI f)) (* (* (/ 4 PI) (log (/ 4 PI))) (* (/ 4 PI) (log (/ 4 PI))))) (fma (- (* (/ 4 PI) (log f)) (* (* (* PI PI) 7/5760) (* PI (pow f 4)))) (* (/ 4 PI) (log f)) (* (* (* (* PI PI) 7/5760) (* PI (pow f 4))) (* (* (* PI PI) 7/5760) (* PI (pow f 4))))))))): 3 * [misc]none: (λ (f) (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (cbrt (pow (/ (log f) PI) 3))))))): 4 * [misc]none: (λ (f) (- (/ (- (* (+ (pow (* 4 (/ (log (/ 4 PI)) PI)) 3) (pow (* 1/12 (* PI (pow f 2))) 3)) (- (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) (* (+ (* (* 4 (/ (log (/ 4 PI)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (- (* (* 1/12 (* PI (pow f 2))) (* 1/12 (* PI (pow f 2)))) (* (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))))) (- (* (* 7/5760 (* (pow PI 3) (pow f 4))) (* 7/5760 (* (pow PI 3) (pow f 4)))) (* (* 4 (/ (log f) PI)) (* 4 (/ (log f) PI)))))) (* (fma (* (* 1/12 f) (* PI f)) (- (* (* 1/12 f) (* PI f)) (* (/ 4 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(* f PI)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))) (cbrt (- (- (* (* f 1/12) (* f PI)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))) (cbrt (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))))))): 13 * [misc]none: Best alt per point * [misc]none: (3.5199466243596854e-299): 1 * [misc]none: (7.015751827940853e-06): 1 * [misc]none: (5.932902354540652e-124): 0 * [misc]none: (2.053616853702732e-224): 13 * [misc]none: (1.3773590471941116e-85): 0 * [misc]none: (3.891498638245715e-204): 7 * [misc]none: (3.7593562727881465e-144): 0 * [misc]none: (6.365296636056406e-210): 0 * [misc]none: (1.67686277315656e-251): 11 * [misc]none: (1.3713007375624439e-145): 0 * [misc]none: (4.3470242035285214e-217): 0 * [misc]none: (2.3704965072138904e-155): 1 * [misc]none: (3.348006630378271e-280): 1 * [misc]none: (1.0667290830168972e-214): 1 * [misc]none: 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[misc]none: (2.2458933586183572e-118): 0 * [misc]none: (1.9670205245244736e-161): 0 * [misc]none: (1.7880122882465386e-160): 0 * [misc]none: (5.9404411007612226e-148): 5 * [misc]none: (5.946958643597572e-214): 1 * [misc]none: (9.722495709355246e-119): 0 * [misc]none: (3.4485202867414925e-305): 0 * [misc]none: (9.612946779766744e-152): 0 * [misc]none: (6.79923859530497e-146): 5 * [misc]none: (1.1189646373235805e-58): 1 * [misc]none: (4.656737006361128e-228): 0 * [misc]none: (2.376066765979685e-112): 0 * [misc]none: (1.1698610931102194e-130): 0 * [misc]none: (1.661221283132463e-65): 1 * [misc]none: (4.4868661851147195e-129): 2 * [misc]none: (6.919405587280887e-246): 0 * [misc]none: (1.1395251390361844e-140): 0 * [misc]none: (2.4110148371685504e-195): 0 * [misc]none: (3.267420843732698e-278): 3 * [misc]none: (6.357084440609873e-122): 0 * [misc]none: (9.254023538292273e-258): 0 * [misc]none: (2.617971147092364e-76): 1 * [misc]none: (1.5886707158046732e-145): 3 * [misc]none: (5.592901786443595e-28): 10 * [misc]none: (6.673139894543714e-272): 0 * [misc]none: (2.389729719307196e-186): 0 * [misc]none: (1.5951305500453889e-112): 0 * [misc]none: (1.09010428308076e-124): 1 * [misc]none: (0.36218343358512595): 6 * [misc]none: (2.748984383306802e-298): 7 * [misc]none: (1.0943834228645564e-283): 0 * [misc]none: (7.113635611234131e-284): 12 * [misc]none: (3.1548761384348172e-109): 7 * [misc]none: (9.821958098168882e-306): 0 * [misc]none: (19456252.47135729): 1 * [misc]none: (2.2232805721846523e-265): 0 * [misc]none: (5.372727824328137e-28): 3 * [misc]none: (5.651538156817781e-179): 1 * [misc]none: (127453.31416225288): 1 * [misc]none: (4.8458035413918555e-285): 1 * [misc]none: (4.5943761374208534e-275): 0 * [misc]none: (1.0704348800720866e-142): 3 * [misc]none: (9.151015091612054e-197): 0 * [misc]none: (1.6592153710205133e-269): 1 * [misc]none: (2.8067853342065496e-36): 1 * [misc]none: (6.922703552766224e-109): 0 * [misc]none: (1.674827311439142e-232): 3 * [misc]none: (1.1207405456452899e-163): 0 * [misc]none: (6.700770922533326e-131): 2 * [misc]none: (2.2584006382909978e-83): 0 * [misc]none: (1.5567451015893508e-50): 1 * [misc]none: (3.408101142682615e-113): 4 * [misc]none: (1.6458733605865993e-55): 0 * [misc]none: (4.718938084187299e-44): 5 * [misc]none: (5.074843796746761e-264): 0 * [misc]none: (1.7364409891568008e-267): 0 * [misc]none: (1.7709814199603185e-248): 0 * [misc]none: (2.0769573767287482e-304): 1 * [misc]none: (5.306441188360666e-59): 2 * [misc]none: (4.739581624122418e-235): 0 * [misc]none: (3.241550165346134e-21): 5 * [misc]none: (7.641034589777101e-98): 0 * [misc]none: (3.870739942634173e-139): 0 * [misc]none: (1.285043823429664e-88): 4 * [misc]none: (5.105992271675965e-91): 12 * [misc]none: (4.769518420383615e-198): 0 * [misc]none: (6.798513332593515e-94): 0 * [misc]none: (1.4806341275368096e-15): 1 * [misc]none: (5.186987197606439e-95): 10 * [misc]none: (9.166563210335683e-100): 0 * [misc]none: (6.272380368196269e-197): 0 * [misc]none: (1.2469806285072402e-28): 3 * [misc]none: (2.7685178515126097e-185): 2 * [misc]none: (1.169454058782927e-202): 0 * [misc]none: (2.497681663913315e-296): 1 * [misc]none: (2.6830861914889714e-191): 0 * [misc]none: (2.5419285128257477e-50): 0 * [misc]none: (1.1330111314315052e-297): 1 * [misc]none: (6.333415879143823e-203): 1 * [misc]none: (6.534790094984563e-249): 0 * [misc]none: (9.20482191500962e-294): 1 * [misc]none: (6.826390525782658e-164): 4 * [misc]none: (1.4517955555700533e-57): 7 * [misc]none: (6.319063013887454e-198): 4 * [misc]none: (4.013577168037153e-101): 0 * [misc]none: (1.5130621813503031e-75): 0 * [misc]none: (7.700703882618771e-282): 0 * [misc]none: (3.8976396927163173e-162): 0 * [misc]none: (9.422179697047065e-164): 7 * [misc]none: (1.3639040980897921e-39): 1 * [misc]none: (2.4497413502625085e-301): 0 * [misc]none: (1.9836536473017196e-256): 0 * [misc]none: (2.7441626242764893e-109): 3 * [misc]none: (3.5836534998638334e-135): 0 * [misc]none: (5.874263446950659e-136): 11 * [misc]none: (1.389009890486587e-304): 0 * [misc]none: (1.5400917624685415e-295): 0 * [misc]none: (1.1078263738557817e-173): 0 * [misc]none: (5.617389868143885e-251): 13 * [misc]none: (5.3574914123082987e-182): 0 * [misc]none: (7.304105671735325e-242): 2 * [misc]none: (6.81321242648181e-289): 0 * [misc]none: (1.45222983614977e-105): 3 * [misc]none: (1.5262661067350401e-10): 3 * [misc]none: (2.5307294479253995e-285): 9 * [misc]none: (1.4426514360168247e-145): 1 * [misc]none: (78.08497987841324): 8 * [misc]none: (1.1909630224861144e-308): 9 * [misc]none: (9.212199844523645e-229): 0 * [misc]none: (3.003386221248247e-77): 5 * [misc]none: (7.613990227232114e-101): 0 * [misc]none: (1.4369290385678577e-161): 3 * [misc]none: (2.3887736368263357e-225): 10 * [misc]none: (2.116370076668309e-191): 0 * [misc]none: (1.1142271720543672e-206): 3 * [misc]none: (2.8003106991789085e-69): 5 * [misc]none: (5.515506992492392e-277): 0 * [misc]none: (2.595646488837273e-219): 0 * [misc]none: (3.108236652528406e-297): 0 * [misc]none: (7.181266914182018e-165): 0 * [misc]none: (522133630.66589946): 1 * [misc]none: (1.1353295840851429e-96): 0 * [misc]none: (2.347768069961951e-79): 1 * [misc]none: (7.595028648060239e-286): 1 * [misc]none: (4.5690448860660455e-67): 0 * [misc]none: (1.0832199703372366e-253): 0 * [misc]none: (3.934156464498665e-121): 0 * [misc]none: (2797.2682494851097): 3 * [misc]none: (0.0005921945720183679): 0 * [misc]none: (2.8115284450926948e-120): 0 * [misc]none: (2.9394468165964015e-257): 1 * [misc]none: (3.271929098149761e-144): 0 * [misc]none: (3.0718166030691505e-80): 0 * [misc]none: (6.604350361119279e-291): 0 * [misc]none: (3.861477555295976e-66): 1 * [misc]none: (7.835819247789118e-215): 4 * [misc]none: (1.5041078345043152e-175): 0 * [misc]none: (3.0457736919219457e-222): 0 * [misc]none: (8.124998850854922e-91): 0 * [misc]none: (2.0152844845402166e-297): 1 * [misc]none: (8.604490187894414e-112): 5 * [misc]none: (1.1753499799973743e-97): 0 * [misc]none: (1.7699153793529457e-292): 0 * [misc]none: (4.1993878019740277e-286): 1 * [misc]none: (1.3228826725861251e-83): 1 * [misc]none: (1.1326695724237201e-117): 0 * [misc]none: (2.0115496002781107e-145): 2 * [misc]none: (1.8862750447266752e-53): 0 * [misc]none: (1310698.3491744497): 1 * [misc]none: (3.0319757073152243e-73): 0 * [misc]none: (3.46946296425657e-151): 7 * [misc]none: (4.4617997614332734e-49): 0 * [misc]none: (5.1841759100413795e-161): 2 * [misc]none: (6.821311827045434e-30): 0 * [misc]none: (3.19314088639968e-300): 0 * [misc]none: (2.6209483109511002e-99): 4 * [misc]none: (3.9436987604242746e-188): 0 * [misc]none: (1.2987545615858837e-229): 0 * [misc]none: (1.3556558330338219e-279): 12 * [misc]none: (5.600091178152213e-210): 7 * [misc]none: (7.360949206952843e-212): 0 * [misc]none: (2.924154450481512e-86): 0 * [misc]none: (1.1766044207630259e-195): 0 * [misc]none: (3.125863179986306e-134): 2 * [misc]none: (4.319230432601922e-289): 0 * [misc]none: (6.0910080487156845e-145): 0 * [misc]none: (3.087465078472461e-297): 0 * [misc]none: (1.8641835944090122e-68): 1 * [misc]none: (2.9298628929536803e-07): 2 * [misc]none: (2.112352033422511e-76): 0 * [misc]none: (5.682432409793209e-103): 0 * [misc]none: (3.763740454339611e-154): 5 * [misc]none: (2.337605690906294e-85): 5 * [misc]none: (1.939469755263449e-274): 0 * [misc]none: (2.0558821145728443e-244): 7 * [misc]none: (7.118304679887613e-64): 0 * [misc]none: (2.3966615634258388e-54): 0 * [misc]none: (1.0609576781328471e-51): 0 * [misc]none: (1.9357477509582754e-93): 5 * [misc]none: (127403.86295705284): 13 * [misc]none: (2.0217918620332625e-85): 0 * [misc]none: (5.6334012743355e-180): 0 * [misc]none: (2.872174301870785e-238): 0 * [misc]none: (2.885576028912994e-235): 2 * [misc]none: (2.7377399598585416e-269): 5 * [misc]none: (1.2391428993123195e-53): 2 * [misc]none: (5.834035641946906e-257): 0 * [misc]none: (2.1519168903719224e-48): 0 * [misc]none: (2.467422452934927e-37): 1 * [misc]none: (5.976566162781828e-262): 1 * [misc]none: (1.638426277474575e-287): 1 * [misc]none: (7.549936203493533e-264): 0 * [misc]none: (161670548.36131597): 5 * [misc]none: (1.2154965615643017e-95): 0 * [misc]none: (1.7054753386147003e-193): 0 * [misc]none: (1.0400546097675973e-191): 0 * [misc]none: (1.2926844442603449e-272): 0 * [misc]none: (8.02593234133885e-135): 0 * [misc]none: (4.693484541613577e-225): 0 * [misc]none: (1.488087021136329e-285): 0 * [misc]none: (1.9700593229138827e-50): 2 * [misc]none: (1.6501972239963874e-258): 0 * [misc]none: (3.049268063166789e-38): 0 * [misc]none: (3.388041199273477e-265): 5 * [misc]none: (3.7476721237841876e-281): 3 * [misc]none: (4.811543151950025e-33): 2 * [misc]none: (1.7265727720717877e-65): 2 * [misc]none: (6.525431496731668e-64): 1 * [misc]none: (2.704077310435608e-253): 0 * [misc]none: (2.7511202385052856e-18): 4 * [misc]none: (3.82956155404422e-299): 2 * [misc]none: (4.296582624822391e-200): 0 * [misc]none: (9.139158849230913e-305): 0 * [misc]none: (6.683383915725252e-271): 0 * [misc]none: (1.830961252259433e-59): 3 * [misc]none: (4.068667347744151e-179): 7 * [misc]none: (3.853952974089327e-228): 0 * [misc]none: (6.009493492582987e-296): 0 * [misc]none: Picked alt (λ (f) (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) 0))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 3 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 3 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log 4))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log f) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log f) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (- (log 4)) into (- (log 4)) * [misc]backup-simplify: Simplify (+ (log f) (- (log 4))) into (- (log f) (log 4)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log f) (log 4))) into (* 4 (/ (- (log f) (log 4)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log f) (log 4)) PI)) into (* 4 (/ (- (log f) (log 4)) PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log f) (log 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (- (log f) (log 4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 4 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 4 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 4 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log 4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 4 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 4 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 4 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 4 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 4 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log 4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 4 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 4 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 4 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 4 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 4 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 4 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 4 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log 4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 4 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 4 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 4 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 4 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 4 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 4 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 4 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 4 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 4 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 4 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 4 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log f) (log 4))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (- (log f) (log 4)) PI)) into (* 4 (/ (- (log f) (log 4)) PI)) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log 4))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (- (log 4)) into (- (log 4)) * [misc]backup-simplify: Simplify (+ (- (log f)) (- (log 4))) into (- (+ (log 4) (log f))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (+ (log 4) (log f)))) into (* -4 (/ (+ (log 4) (log f)) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (+ (log 4) (log f)) PI)) into (* -4 (/ (+ (log 4) (log f)) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (+ (log 4) (log f))))) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (- (+ (log 4) (log f)))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 4 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 4 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 4 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log 4) (log f))))))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 4 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 4 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 4 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 4 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 4 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log 4) (log f)))))))) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 4 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 4 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 4 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 4 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 4 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 4 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 4 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log 4) (log f))))))))) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 4 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 4 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 4 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 4 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 4 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 4 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 4 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 4 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 4 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 4 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 4 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log 4) (log f)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -4 (/ (+ (log 4) (log (/ 1 f))) PI)) into (* -4 (/ (+ (log 4) (log (/ 1 f))) PI)) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log 4))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (- (log 4)) into (- (log 4)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log f)) (- (log 4))) into (- (log -1) (+ (log 4) (log f))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log -1) (+ (log 4) (log f)))) into (* 4 (/ (- (log -1) (+ (log 4) (log f))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log -1) (+ (log 4) (log f))) PI)) into (* 4 (/ (- (log -1) (+ (log 4) (log f))) 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 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log -1) (+ (log 4) (log f))))) 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 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log 4) (log f)))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 4 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 4 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 4 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log 4) (log f))))))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 4 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 4 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 4 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 4 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 4 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log 4) (log f)))))))) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 4 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 4 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 4 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 4 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 4 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 4 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 4 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log 4) (log f))))))))) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 4 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 4 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 4 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 4 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 4 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 4 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 4 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 4 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 4 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 4 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 4 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log 4) (log f)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (- (log -1) (+ (log 4) (log (/ 1 (- f))))) PI)) into (* 4 (/ (- (log -1) (+ (log 4) (log (/ -1 f)))) PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 3 1) * [misc]approximate: Taking taylor expansion of (* f 1/12) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* f 1/12) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 1/12) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (* 0 1/12) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/12)) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/12))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/12)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/12 f) into (* 1/12 f) * [misc]approximate: Taking taylor expansion of (* (/ 1 f) 1/12) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/12) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/12) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (* 1 1/12) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/12)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/12))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/12 (/ 1 (/ 1 f))) into (* 1/12 f) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- f)) 1/12) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/12) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/12) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (* -1 1/12) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [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 1/12)) 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) (+ (* 0 0) (* 0 1/12))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/12 (/ 1 (/ 1 (- f)))) into (* 1/12 f) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 3 2) * [misc]approximate: Taking taylor expansion of (* f PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 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 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 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI f) into (* PI f) * [misc]approximate: Taking taylor expansion of (* (/ 1 f) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 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 in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 (/ 1 f))) into (* PI f) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- f)) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) 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 (+ (* -1 0) (* 0 PI)) 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) (+ (* 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) 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 (+ (* -1 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- f)))) into (* PI f) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (expm1 (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (expm1 (* (/ 4 PI) (log PI))) * * * * [misc]progress: [ 2 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log1p (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (log1p (* (/ 4 PI) (log PI))) * * * * [misc]progress: [ 3 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * * * * [misc]progress: [ 4 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 4 PI)) (log (log PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (+ (log (log PI)) (log (/ 4 PI))) * [exit]simplify: Simplified to (+ (log (log PI)) (log (/ 4 PI))) * * * * [misc]progress: [ 6 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (log (* (/ 4 PI) (log PI))) * * * * [misc]progress: [ 7 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (pow PI (/ 4 PI)) * [exit]simplify: Simplified to (pow PI (/ 4 PI)) * * * * [misc]progress: [ 8 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI)) (* (* (log PI) (log PI)) (log PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * [exit]simplify: Simplified to (* (pow (log PI) 3) (pow (/ 4 PI) 3)) * [exit]simplify: Simplified to (* (pow (log PI) 3) (pow (/ 4 PI) 3)) * * * * [misc]progress: [ 9 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 4 PI) (log PI))) (cbrt (* (/ 4 PI) (log PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 4 PI) (log PI))) (cbrt (* (/ 4 PI) (log PI)))) * [exit]simplify: Simplified to (* (cbrt (* (/ 4 PI) (log PI))) (cbrt (* (/ 4 PI) (log PI)))) * [enter]simplify: Simplifying (cbrt (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (cbrt (* (/ 4 PI) (log PI))) * * * * [misc]progress: [ 10 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (log PI)) (* (/ 4 PI) (log PI))) (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (pow (* (/ 4 PI) (log PI)) 3) * [exit]simplify: Simplified to (pow (* (/ 4 PI) (log PI)) 3) * * * * [misc]progress: [ 11 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (log PI))) * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (log PI))) * * * * [misc]progress: [ 12 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (* (cbrt (log PI)) (cbrt (log PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (log PI)) (cbrt (log PI))) (/ PI 4)) * [exit]simplify: Simplified to (/ (* (cbrt (log PI)) (cbrt (log PI))) (/ PI 4)) * * * * [misc]progress: [ 14 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (sqrt (log PI))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (sqrt (log PI))) * [exit]simplify: Simplified to (* (/ 4 PI) (sqrt (log PI))) * * * * [misc]progress: [ 15 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 16 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 PI)) (log PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (log PI)) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (log PI)) * * * * [misc]progress: [ 17 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (log PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log PI)) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log PI)) * * * * [misc]progress: [ 18 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * * * * [misc]progress: [ 19 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 PI) (log PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (log PI) PI) * [exit]simplify: Simplified to (/ (log PI) PI) * * * * [misc]progress: [ 20 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (log PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* 4 (log PI)) * [exit]simplify: Simplified to (* 4 (log PI)) * * * * [misc]progress: [ 21 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (expm1 (* (/ 4 PI) (- (log f) (log 4)))) * [exit]simplify: Simplified to (expm1 (* (/ 4 PI) (- (log f) (log 4)))) * * * * [misc]progress: [ 23 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (log1p (* (/ 4 PI) (- (log f) (log 4)))) * [exit]simplify: Simplified to (log1p (* (/ 4 PI) (- (log f) (log 4)))) * * * * [misc]progress: [ 24 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * * * * [misc]progress: [ 25 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 4 PI)) (log (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (- (log f) (log 4)))) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (- (log f) (log 4)))) * * * * [misc]progress: [ 27 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (log (* (/ 4 PI) (- (log f) (log 4)))) * [exit]simplify: Simplified to (log (* (/ 4 PI) (- (log f) (log 4)))) * * * * [misc]progress: [ 28 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (pow (/ f 4) (/ 4 PI)) * [exit]simplify: Simplified to (pow (/ f 4) (/ 4 PI)) * * * * [misc]progress: [ 29 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI)) (* (* (- (log f) (log 4)) (- (log f) (log 4))) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (- (log f) (log 4))) (* (- (log f) (log 4)) (pow (/ 4 PI) 3))) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (- (log f) (log 4))) (* (- (log f) (log 4)) (pow (/ 4 PI) 3))) * * * * [misc]progress: [ 30 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 4 PI) (- (log f) (log 4)))) (cbrt (* (/ 4 PI) (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 4 PI) (- (log f) (log 4)))) (cbrt (* (/ 4 PI) (- (log f) (log 4))))) * [exit]simplify: Simplified to (* (cbrt (* (/ 4 PI) (- (log f) (log 4)))) (cbrt (* (/ 4 PI) (- (log f) (log 4))))) * [enter]simplify: Simplifying (cbrt (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (cbrt (* (/ 4 PI) (- (log f) (log 4)))) * [exit]simplify: Simplified to (cbrt (* (/ 4 PI) (- (log f) (log 4)))) * * * * [misc]progress: [ 31 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (- (log f) (log 4)))) (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (pow (* (/ 4 PI) (- (log f) (log 4))) 3) * [exit]simplify: Simplified to (pow (* (/ 4 PI) (- (log f) (log 4))) 3) * * * * [misc]progress: [ 32 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (- (log f) (log 4)))) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (- (log f) (log 4)))) * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (- (log f) (log 4)))) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (- (log f) (log 4)))) * * * * [misc]progress: [ 33 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (- (pow (log f) 3) (pow (log 4) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (- (* (* (log f) (log f)) (* 4 (log f))) (* (* (log 4) (log 4)) (* (log 4) 4))) * [exit]simplify: Simplified to (- (* (* (log f) (log f)) (* 4 (log f))) (* (* (log 4) (log 4)) (* (log 4) 4))) * [enter]simplify: Simplifying (* PI (+ (* (log f) (log f)) (+ (* (log 4) (log 4)) (* (log f) (log 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (* (fma (+ (log f) (log 4)) (log 4) (* (log f) (log f))) PI) * [exit]simplify: Simplified to (* (fma (+ (log f) (log 4)) (log 4) (* (log f) (log f))) PI) * * * * [misc]progress: [ 34 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (- (* (log f) (log f)) (* (log 4) (log 4)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (* 4 (+ (log 4) (log f)))) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (* 4 (+ (log 4) (log f)))) * [enter]simplify: Simplifying (* PI (+ (log f) (log 4))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (* (+ (log 4) (log f)) PI) * [exit]simplify: Simplified to (* (+ (log 4) (log f)) PI) * * * * [misc]progress: [ 35 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (cbrt (log 4)) (* (cbrt (log 4)) (cbrt (log 4))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (cbrt (log 4))) (* (cbrt (log 4)) (cbrt (log 4))) (* (cbrt (log 4)) (* (cbrt (log 4)) (cbrt (log 4)))))) * * [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 (118 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 37 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (sqrt (log 4)) (sqrt (log 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (sqrt (log 4))) (sqrt (log 4)) (* (sqrt (log 4)) (sqrt (log 4))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 38 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (log 4) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (397 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (log 4)) 1 (* (log 4) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 39 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (sqrt (log f)) (sqrt (log f)) (- (* (cbrt (log 4)) (* (cbrt (log 4)) (cbrt (log 4))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (cbrt (log 4))) (* (cbrt (log 4)) (cbrt (log 4))) (* (cbrt (log 4)) (* (cbrt (log 4)) (cbrt (log 4)))))) * * [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 (118 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 40 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (sqrt (log f)) (sqrt (log f)) (- (* (sqrt (log 4)) (sqrt (log 4)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (sqrt (log 4))) (sqrt (log 4)) (* (sqrt (log 4)) (sqrt (log 4))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 41 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma (sqrt (log f)) (sqrt (log f)) (- (* (log 4) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (317 enodes) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (log 4)) 1 (* (log 4) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 42 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma 1 (log f) (- (* (cbrt (log 4)) (* (cbrt (log 4)) (cbrt (log 4))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (cbrt (log 4))) (* (cbrt (log 4)) (cbrt (log 4))) (* (cbrt (log 4)) (* (cbrt (log 4)) (cbrt (log 4)))))) * * [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 (118 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 43 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma 1 (log f) (- (* (sqrt (log 4)) (sqrt (log 4)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (sqrt (log 4))) (sqrt (log 4)) (* (sqrt (log 4)) (sqrt (log 4))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 44 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (fma 1 (log f) (- (* (log 4) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 4 PI) (fma (- (log 4)) 1 (* (log 4) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 45 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log f)) * [exit]simplify: Simplified to (* (/ 4 PI) (log f)) * [enter]simplify: Simplifying (* (/ 4 PI) (- (log 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (log 4) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log 4) (- (/ 4 PI))) * * * * [misc]progress: [ 46 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log f)) * [exit]simplify: Simplified to (* (/ 4 PI) (log f)) * [enter]simplify: Simplifying (* (/ 4 PI) (- (log 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (log 4) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log 4) (- (/ 4 PI))) * * * * [misc]progress: [ 47 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (cbrt (log 4)) (* (cbrt (log 4)) (cbrt (log 4)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [enter]simplify: Simplifying (* (fma (- (cbrt (log 4))) (* (cbrt (log 4)) (cbrt (log 4))) (* (cbrt (log 4)) (* (cbrt (log 4)) (cbrt (log 4))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 48 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (sqrt (log 4)) (sqrt (log 4))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [enter]simplify: Simplifying (* (fma (- (sqrt (log 4))) (sqrt (log 4)) (* (sqrt (log 4)) (sqrt (log 4)))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 49 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (* (cbrt (log f)) (cbrt (log f))) (cbrt (log f)) (- (* (log 4) 1))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ PI 4)) * [enter]simplify: Simplifying (* (fma (- (log 4)) 1 (* (log 4) 1)) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 50 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (sqrt (log f)) (sqrt (log f)) (- (* (cbrt (log 4)) (* (cbrt (log 4)) (cbrt (log 4)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [enter]simplify: Simplifying (* (fma (- (cbrt (log 4))) (* (cbrt (log 4)) (cbrt (log 4))) (* (cbrt (log 4)) (* (cbrt (log 4)) (cbrt (log 4))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 51 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (sqrt (log f)) (sqrt (log f)) (- (* (sqrt (log 4)) (sqrt (log 4))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ PI 4)) * [enter]simplify: Simplifying (* (fma (- (sqrt (log 4))) (sqrt (log 4)) (* (sqrt (log 4)) (sqrt (log 4)))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 52 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (sqrt (log f)) (sqrt (log f)) (- (* (log 4) 1))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [enter]simplify: Simplifying (* (fma (- (log 4)) 1 (* (log 4) 1)) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 53 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma 1 (log f) (- (* (cbrt (log 4)) (* (cbrt (log 4)) (cbrt (log 4)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ PI 4)) * [enter]simplify: Simplifying (* (fma (- (cbrt (log 4))) (* (cbrt (log 4)) (cbrt (log 4))) (* (cbrt (log 4)) (* (cbrt (log 4)) (cbrt (log 4))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 54 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma 1 (log f) (- (* (sqrt (log 4)) (sqrt (log 4))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [enter]simplify: Simplifying (* (fma (- (sqrt (log 4))) (sqrt (log 4)) (* (sqrt (log 4)) (sqrt (log 4)))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 55 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma 1 (log f) (- (* (log 4) 1))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ PI 4)) * [enter]simplify: Simplifying (* (fma (- (log 4)) 1 (* (log 4) 1)) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 56 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log f) (/ 4 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [enter]simplify: Simplifying (* (- (log 4)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (- (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log 4)) (/ 4 PI)) * * * * [misc]progress: [ 57 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log f) (/ 4 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [enter]simplify: Simplifying (* (- (log 4)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (- (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log 4)) (/ 4 PI)) * * * * [misc]progress: [ 58 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (* (cbrt (- (log f) (log 4))) (cbrt (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (log f) (log 4))) (cbrt (- (log f) (log 4)))) (/ 4 PI)) * [exit]simplify: Simplified to (* (* (cbrt (- (log f) (log 4))) (cbrt (- (log f) (log 4)))) (/ 4 PI)) * * * * [misc]progress: [ 59 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (sqrt (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (- (log f) (log 4))) (/ 4 PI)) * [exit]simplify: Simplified to (* (sqrt (- (log f) (log 4))) (/ 4 PI)) * * * * [misc]progress: [ 60 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 61 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (+ (sqrt (log f)) (sqrt (log 4)))) * * [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 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (log f)) (sqrt (log 4))) (/ 4 PI)) * [exit]simplify: Simplified to (* (+ (sqrt (log f)) (sqrt (log 4))) (/ 4 PI)) * * * * [misc]progress: [ 62 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 63 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 PI)) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (- (log f) (log 4))) * * * * [misc]progress: [ 64 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log f) (log 4))) * * * * [misc]progress: [ 65 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * * * * [misc]progress: [ 66 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 PI) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) PI) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) PI) * * * * [misc]progress: [ 67 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (pow (log f) 3) (pow (log 4) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (- (* (* (log f) (log f)) (/ (log f) (/ PI 4))) (* (/ (log 4) (/ PI 4)) (* (log 4) (log 4)))) * [exit]simplify: Simplified to (- (* (* (log f) (log f)) (/ (log f) (/ PI 4))) (* (/ (log 4) (/ PI 4)) (* (log 4) (log 4)))) * * * * [misc]progress: [ 68 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (* (log f) (log f)) (* (log 4) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (+ (log f) (log 4))) (/ 4 PI)) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (+ (log f) (log 4))) (/ 4 PI)) * * * * [misc]progress: [ 69 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* 4 (- (log f) (log 4))) * [exit]simplify: Simplified to (* 4 (- (log f) (log 4))) * * * * [misc]progress: [ 70 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (expm1 (* 1/12 f)) * [exit]simplify: Simplified to (expm1 (* 1/12 f)) * * * * [misc]progress: [ 72 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (log1p (* 1/12 f)) * [exit]simplify: Simplified to (log1p (* 1/12 f)) * * * * [misc]progress: [ 73 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* 1/12 f)) * [exit]simplify: Simplified to (log (* 1/12 f)) * * * * [misc]progress: [ 75 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* 1/12 f)) * [exit]simplify: Simplified to (exp (* 1/12 f)) * * * * [misc]progress: [ 76 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* f 1/12)) (cbrt (* f 1/12))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* 1/12 f)) (cbrt (* 1/12 f))) * [exit]simplify: Simplified to (* (cbrt (* 1/12 f)) (cbrt (* 1/12 f))) * [enter]simplify: Simplifying (cbrt (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 1/12 f)) * [exit]simplify: Simplified to (cbrt (* 1/12 f)) * * * * [misc]progress: [ 77 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* f 1/12) (* f 1/12)) (* f 1/12)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (pow (* 1/12 f) 3) * [exit]simplify: Simplified to (pow (* 1/12 f) 3) * * * * [misc]progress: [ 78 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/12 f)) * [exit]simplify: Simplified to (sqrt (* 1/12 f)) * [enter]simplify: Simplifying (sqrt (* f 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/12 f)) * [exit]simplify: Simplified to (sqrt (* 1/12 f)) * * * * [misc]progress: [ 79 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (expm1 (* PI f)) * [exit]simplify: Simplified to (expm1 (* PI f)) * * * * [misc]progress: [ 82 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (log1p (* PI f)) * [exit]simplify: Simplified to (log1p (* PI f)) * * * * [misc]progress: [ 83 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* PI f)) * [exit]simplify: Simplified to (log (* PI f)) * * * * [misc]progress: [ 85 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* PI f)) * [exit]simplify: Simplified to (exp (* PI f)) * * * * [misc]progress: [ 86 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* f PI)) (cbrt (* f PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* PI f)) (cbrt (* PI f))) * [exit]simplify: Simplified to (* (cbrt (* PI f)) (cbrt (* PI f))) * [enter]simplify: Simplifying (cbrt (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* PI f)) * [exit]simplify: Simplified to (cbrt (* PI f)) * * * * [misc]progress: [ 87 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* f PI) (* f PI)) (* f PI)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (pow (* PI f) 3) * [exit]simplify: Simplified to (pow (* PI f) 3) * * * * [misc]progress: [ 88 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI f)) * [exit]simplify: Simplified to (sqrt (* PI f)) * [enter]simplify: Simplifying (sqrt (* f PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI f)) * [exit]simplify: Simplified to (sqrt (* PI f)) * * * * [misc]progress: [ 89 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) 0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (+ (+ (* (* PI (* f f)) (- 1/12)) (* (* (* PI 7/5760) (pow f 4)) (* PI PI))) (fma (- (log f) (log 4)) (/ 4 PI) (* (/ 4 PI) (log PI)))) * * * * [misc]progress: [ 92 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) 0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (+ (+ (* (* PI (* f f)) (- 1/12)) (* (* (* PI 7/5760) (pow f 4)) (* PI PI))) (fma (- (log f) (log 4)) (/ 4 PI) (* (/ 4 PI) (log PI)))) * * * * [misc]progress: [ 93 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) 0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (+ (+ (* (* PI (* f f)) (- 1/12)) (* (* (* PI 7/5760) (pow f 4)) (* PI PI))) (fma (- (log f) (log 4)) (/ 4 PI) (* (/ 4 PI) (log PI)))) * * * * [misc]progress: [ 94 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (+ (* 4 (/ (- (log f) (log 4)) PI)) (* (/ 4 PI) (log PI)))) 0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (- (+ (* (* (* PI 7/5760) (pow f 4)) (* PI PI)) (* (* f PI) (- (* 1/12 f)))) (* (/ 4 PI) (- (- (log PI)) (- (log f) (log 4))))) * * * * [misc]progress: [ 95 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (+ (* -4 (/ (+ (log 4) (log (/ 1 f))) PI)) (* (/ 4 PI) (log PI)))) 0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (+ (* (* (pow f 4) (* PI PI)) (* PI 7/5760)) (+ (* (* (* f PI) 1/12) (- f)) (fma (/ -4 PI) (- (log 4) (log f)) (* (log PI) (/ 4 PI))))) * * * * [misc]progress: [ 96 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* f PI))) (+ (* 4 (/ (- (log -1) (+ (log 4) (log (/ -1 f)))) PI)) (* (/ 4 PI) (log PI)))) 0)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (+ (+ (* (- (* 1/12 f)) (* f PI)) (* (* (* PI PI) (* PI 7/5760)) (pow f 4))) (fma (/ 4 PI) (+ (- 0 (log 4)) (log f)) (* (/ 4 PI) (log PI)))) * * * * [misc]progress: [ 97 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* 1/12 f) (* f PI))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) 0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (+ (+ (* (- f) (* (* f PI) 1/12)) (* (* (pow f 4) (* PI PI)) (* PI 7/5760))) (fma (/ 4 PI) (- (log f) (log 4)) (* (log PI) (/ 4 PI)))) * * * * [misc]progress: [ 98 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* 1/12 f) (* f PI))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) 0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (+ (+ (* (- f) (* (* f PI) 1/12)) (* (* (pow f 4) (* PI PI)) (* PI 7/5760))) (fma (/ 4 PI) (- (log f) (log 4)) (* (log PI) (/ 4 PI)))) * * * * [misc]progress: [ 99 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* 1/12 f) (* f PI))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) 0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (+ (+ (* (- f) (* (* f PI) 1/12)) (* (* (pow f 4) (* PI PI)) (* PI 7/5760))) (fma (/ 4 PI) (- (log f) (log 4)) (* (log PI) (/ 4 PI)))) * * * * [misc]progress: [ 100 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* PI f))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) 0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (+ (+ (* (* 1/12 f) (- (* f PI))) (* (* (* PI 7/5760) (* PI PI)) (pow f 4))) (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI)))) * * * * [misc]progress: [ 101 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* PI f))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) 0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (+ (+ (* (* 1/12 f) (- (* f PI))) (* (* (* PI 7/5760) (* PI PI)) (pow f 4))) (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI)))) * * * * [misc]progress: [ 102 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (fma (* 7/5760 (* PI PI)) (* (- PI) (pow f 4)) (* (* f 1/12) (* PI f))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) 0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (+ (+ (* (* 1/12 f) (- (* f PI))) (* (* (* PI 7/5760) (* PI PI)) (pow f 4))) (fma (- (log f) (log 4)) (/ 4 PI) (* (log PI) (/ 4 PI)))) * * * [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 (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (/ 4 PI) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [enter]simplify: Simplifying (* (/ 4 PI) (log PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * * * * [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 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5948 additional inputs, on iter 1 have 2052 / 8000 * * * * [misc]points: Computing exacts on every 371 of 5948 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 185 of 5948 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 92 of 5948 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 46 of 5948 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 23 of 5948 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 11 of 5948 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 5948 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 5948 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 5948 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4436 additional inputs, on iter 2 have 3564 / 8000 * * * * [misc]points: Computing exacts on every 277 of 4436 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 138 of 4436 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 69 of 4436 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 34 of 4436 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 17 of 4436 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 4436 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 4436 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 4436 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 4436 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3294 additional inputs, on iter 3 have 4706 / 8000 * * * * [misc]points: Computing exacts on every 205 of 3294 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 102 of 3294 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 51 of 3294 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 25 of 3294 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 12 of 3294 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 6 of 3294 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 3294 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 3294 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2440 additional inputs, on iter 4 have 5560 / 8000 * * * * [misc]points: Computing exacts on every 152 of 2440 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 76 of 2440 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 38 of 2440 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 19 of 2440 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 9 of 2440 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 2440 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 2440 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 2440 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1818 additional inputs, on iter 5 have 6182 / 8000 * * * * [misc]points: Computing exacts on every 113 of 1818 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 56 of 1818 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 28 of 1818 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 14 of 1818 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 1818 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 1818 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1818 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1334 additional inputs, on iter 6 have 6666 / 8000 * * * * [misc]points: Computing exacts on every 83 of 1334 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 41 of 1334 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 20 of 1334 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 10 of 1334 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 1334 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 1334 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1334 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 992 additional inputs, on iter 7 have 7008 / 8000 * * * * [misc]points: Computing exacts on every 62 of 992 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 992 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 992 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 992 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 992 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 992 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 746 additional inputs, on iter 8 have 7254 / 8000 * * * * [misc]points: Computing exacts on every 46 of 746 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 23 of 746 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 11 of 746 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 746 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 746 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 746 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 568 additional inputs, on iter 9 have 7432 / 8000 * * * * [misc]points: Computing exacts on every 35 of 568 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 17 of 568 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 568 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 568 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 568 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 568 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 420 additional inputs, on iter 10 have 7580 / 8000 * * * * [misc]points: Computing exacts on every 26 of 420 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 13 of 420 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 6 of 420 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 420 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 420 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 301 additional inputs, on iter 11 have 7699 / 8000 * * * * [misc]points: Computing exacts on every 18 of 301 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 9 of 301 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 301 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 301 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 301 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 226 additional inputs, on iter 12 have 7774 / 8000 * * * * [misc]points: Computing exacts on every 14 of 226 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 226 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 226 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 226 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 157 additional inputs, on iter 13 have 7843 / 8000 * * * * [misc]points: Computing exacts on every 9 of 157 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 157 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 157 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 157 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 119 additional inputs, on iter 14 have 7881 / 8000 * * * * [misc]points: Computing exacts on every 7 of 119 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 119 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 119 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 88 additional inputs, on iter 15 have 7912 / 8000 * * * * [misc]points: Computing exacts on every 5 of 88 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 88 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 88 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 69 additional inputs, on iter 16 have 7931 / 8000 * * * * [misc]points: Computing exacts on every 4 of 69 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 69 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 69 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 45 additional inputs, on iter 17 have 7955 / 8000 * * * * [misc]points: Computing exacts on every 2 of 45 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 45 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 31 additional inputs, on iter 18 have 7969 / 8000 * * * * [misc]points: Computing exacts for 31 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 25 additional inputs, on iter 19 have 7975 / 8000 * * * * [misc]points: Computing exacts for 25 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 17 additional inputs, on iter 20 have 7983 / 8000 * * * * [misc]points: Computing exacts for 17 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 21 have 7987 / 8000 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 12 additional inputs, on iter 22 have 7988 / 8000 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 23 have 7992 / 8000 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 24 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 25 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 26 have 7996 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 27 have 7996 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 28 have 7996 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 29 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 30 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs